Characterizing the Directionality of Gravitational Wave Emission from Matter Motions within Core-collapse Supernovae
Abstract
Abstract We analyze the directional dependence of the gravitational wave (GW) emission from 15 3D neutrino radiation hydrodynamic simulations of core-collapse supernovae (CCSNe). Using spin weighted spherical harmonics, we develop a new analytic technique to quantify the evolution of the distribution of GW emission over all angles. We construct a physics-informed toy model that can be used to approximate GW distributions for general ellipsoid-like systems, and use it to provide closed form expressions for the distribution of GWs for different CCSN phases. Using these toy models, we approximate the protoneutron star (PNS) dynamics during multiple CCSN stages and obtain similar GW distributions to simulation outputs. When considering all viewing angles, we apply this new technique to quantify the evolution of preferred directions of GW emission. For nonrotating cases, this dominant viewing angle drifts isotropically throughout the supernova, set by the dynamical timescale of the PNS. For rotating cases, during core bounce and the following tens of milliseconds, the strongest GW signal is observed along the equator. During the accretion phase, comparable—if not stronger—GW amplitudes are generated along the axis of rotation, which can be enhanced by the low T /∣ W ∣ instability. We show two dominant factors influencing themore »
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 2222931
- Grant/Contract Number:
- SC0015904; 1325 SC0017955; PHY-2309231
- Resource Type:
- Published Article
- Journal Name:
- The Astrophysical Journal
- Additional Journal Information:
- Journal Name: The Astrophysical Journal Journal Volume: 959 Journal Issue: 1; Journal ID: ISSN 0004-637X
- Publisher:
- American Astronomical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Pajkos, Michael A., VanCamp, Steven J., Pan, Kuo-Chuan, Vartanyan, David, Deppe, Nils, and Couch, Sean M. Characterizing the Directionality of Gravitational Wave Emission from Matter Motions within Core-collapse Supernovae. United States: N. p., 2023.
Web. doi:10.3847/1538-4357/acfca4.
Pajkos, Michael A., VanCamp, Steven J., Pan, Kuo-Chuan, Vartanyan, David, Deppe, Nils, & Couch, Sean M. Characterizing the Directionality of Gravitational Wave Emission from Matter Motions within Core-collapse Supernovae. United States. https://doi.org/10.3847/1538-4357/acfca4
Pajkos, Michael A., VanCamp, Steven J., Pan, Kuo-Chuan, Vartanyan, David, Deppe, Nils, and Couch, Sean M. Thu .
"Characterizing the Directionality of Gravitational Wave Emission from Matter Motions within Core-collapse Supernovae". United States. https://doi.org/10.3847/1538-4357/acfca4.
@article{osti_2222931,
title = {Characterizing the Directionality of Gravitational Wave Emission from Matter Motions within Core-collapse Supernovae},
author = {Pajkos, Michael A. and VanCamp, Steven J. and Pan, Kuo-Chuan and Vartanyan, David and Deppe, Nils and Couch, Sean M.},
abstractNote = {Abstract We analyze the directional dependence of the gravitational wave (GW) emission from 15 3D neutrino radiation hydrodynamic simulations of core-collapse supernovae (CCSNe). Using spin weighted spherical harmonics, we develop a new analytic technique to quantify the evolution of the distribution of GW emission over all angles. We construct a physics-informed toy model that can be used to approximate GW distributions for general ellipsoid-like systems, and use it to provide closed form expressions for the distribution of GWs for different CCSN phases. Using these toy models, we approximate the protoneutron star (PNS) dynamics during multiple CCSN stages and obtain similar GW distributions to simulation outputs. When considering all viewing angles, we apply this new technique to quantify the evolution of preferred directions of GW emission. For nonrotating cases, this dominant viewing angle drifts isotropically throughout the supernova, set by the dynamical timescale of the PNS. For rotating cases, during core bounce and the following tens of milliseconds, the strongest GW signal is observed along the equator. During the accretion phase, comparable—if not stronger—GW amplitudes are generated along the axis of rotation, which can be enhanced by the low T /∣ W ∣ instability. We show two dominant factors influencing the directionality of GW emission are the degree of initial rotation and explosion morphology. Lastly, looking forward, we note the sensitive interplay between GW detector site and supernova orientation, along with its effect on detecting individual polarization modes.},
doi = {10.3847/1538-4357/acfca4},
journal = {The Astrophysical Journal},
number = 1,
volume = 959,
place = {United States},
year = {Thu Nov 30 00:00:00 EST 2023},
month = {Thu Nov 30 00:00:00 EST 2023}
}
https://doi.org/10.3847/1538-4357/acfca4
Works referenced in this record:
Efficient method for estimating the time evolution of the proto-neutron star mass and radius from a supernova neutrino signal
journal, March 2022
- Nagakura, Hiroki; Vartanyan, David
- Monthly Notices of the Royal Astronomical Society, Vol. 512, Issue 2
Gravitational waves from long-duration simulations of the dynamical bar instability
journal, August 2000
- New, Kimberly C. B.; Centrella, Joan M.; Tohline, Joel E.
- Physical Review D, Vol. 62, Issue 6
FLASH: An Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes
journal, November 2000
- Fryxell, B.; Olson, K.; Ricker, P.
- The Astrophysical Journal Supplement Series, Vol. 131, Issue 1
Gravitational waves from compact objects
journal, October 2010
- Pacheco, José Antonio de Freitas
- Research in Astronomy and Astrophysics, Vol. 10, Issue 11
Advanced Virgo: a second-generation interferometric gravitational wave detector
journal, December 2014
- Acernese, F.; Agathos, M.; Agatsuma, K.
- Classical and Quantum Gravity, Vol. 32, Issue 2
On the gravitational radiation of an oblique rotator
journal, July 1984
- Gal'tsov, D. V.; Tsvetkov, V. P.
- Physics Letters A, Vol. 103, Issue 4
Flattening modulus of a neutron star by rotation and magnetic field
text, January 2000
- Konno, K.; Obata, T.; Kojima, Y.
- arXiv
The overarching framework of core-collapse supernova explosions as revealed by 3D fornax simulations
journal, November 2019
- Burrows, Adam; Radice, David; Vartanyan, David
- Monthly Notices of the Royal Astronomical Society, Vol. 491, Issue 2
The Gravitational Wave Signal from Core-collapse Supernovae
journal, June 2018
- Morozova, Viktoriya; Radice, David; Burrows, Adam
- The Astrophysical Journal, Vol. 861, Issue 1
Constraining Properties of the Next Nearby Core-collapse Supernova with Multimessenger Signals
journal, July 2020
- Warren, MacKenzie L.; Couch, Sean M.; O’Connor, Evan P.
- The Astrophysical Journal, Vol. 898, Issue 2
Estimate of the detectability of the circular polarization signature of supernova gravitational waves using the Stokes parameters
journal, May 2021
- Chan, Man Leong; Hayama, Kazuhiro
- Physical Review D, Vol. 103, Issue 10
Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors
journal, September 2013
- Gair, Jonathan R.; Vallisneri, Michele; Larson, Shane L.
- Living Reviews in Relativity, Vol. 16, Issue 1
Circular polarization of gravitational waves from non-rotating supernova cores: a new probe into the pre-explosion hydrodynamics
journal, April 2018
- Hayama, Kazuhiro; Kuroda, Takami; Kotake, Kei
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 477, Issue 1
An Open-Source Neutrino Radiation Hydrodynamics code for Core-Collapse Supernovae
journal, August 2015
- O’Connor, Evan
- The Astrophysical Journal Supplement Series, Vol. 219, Issue 2
The Isotropic Diffusion Source Approximation for Supernova Neutrino Transport
journal, May 2009
- Liebendörfer, M.; Whitehouse, S. C.; Fischer, T.
- The Astrophysical Journal, Vol. 698, Issue 2
Deformations of accreting neutron star crusts and gravitational wave emission: Crustal quadrupole moments
journal, December 2000
- Ushomirsky, Greg; Cutler, Curt; Bildsten, Lars
- Monthly Notices of the Royal Astronomical Society, Vol. 319, Issue 3
One-armed Spiral Instability in a Low- T /| W | Postbounce Supernova Core
journal, May 2005
- Ott, Christian D.; Ou, Shangli; Tohline, Joel E.
- The Astrophysical Journal, Vol. 625, Issue 2
Gravitational radiation from stellar collapse - Ellipsoidal models
journal, April 1978
- Saenz, R. A.; Shapiro, S. L.
- The Astrophysical Journal, Vol. 221
Equation-of-state Dependence of Gravitational Waves in Core-collapse Supernovae
journal, December 2021
- Eggenberger Andersen, Oliver; Zha, Shuai; da Silva Schneider, André
- The Astrophysical Journal, Vol. 923, Issue 2
Detection prospects of core-collapse supernovae with supernova-optimized third-generation gravitational-wave detectors
journal, August 2019
- Srivastava, Varun; Ballmer, Stefan; Brown, Duncan A.
- Physical Review D, Vol. 100, Issue 4
Gravitational waves from 3D core-collapse supernova models: The impact of moderate progenitor rotation
journal, April 2019
- Andresen, H.; Müller, E.; Janka, H-Th
- Monthly Notices of the Royal Astronomical Society, Vol. 486, Issue 2
Observing gravitational waves from core-collapse supernovae in the advanced detector era
journal, February 2016
- Gossan, S. E.; Sutton, P.; Stuver, A.
- Physical Review D, Vol. 93, Issue 4
Two-dimensional Core-collapse Supernova Explosions Aided by General Relativity with Multidimensional Neutrino Transport
journal, February 2018
- O’Connor, Evan P.; Couch, Sean M.
- The Astrophysical Journal, Vol. 854, Issue 1
Stellar Mass Black Hole Formation and Multimessenger Signals from Three-dimensional Rotating Core-collapse Supernova Simulations
journal, June 2021
- Pan, Kuo-Chuan; Liebendörfer, Matthias; Couch, Sean M.
- The Astrophysical Journal, Vol. 914, Issue 2
Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae
journal, September 2018
- O’Connor, Evan P.; Couch, Sean M.
- The Astrophysical Journal, Vol. 865, Issue 2
Characteristic time variability of gravitational-wave and neutrino signals from three-dimensional simulations of non-rotating and rapidly rotating stellar core collapse
journal, January 2021
- Shibagaki, Shota; Kuroda, Takami; Kotake, Kei
- Monthly Notices of the Royal Astronomical Society, Vol. 502, Issue 2
Fornax: A Flexible Code for Multiphysics Astrophysical Simulations
journal, February 2019
- Skinner, M. Aaron; Dolence, Joshua C.; Burrows, Adam
- The Astrophysical Journal Supplement Series, Vol. 241, Issue 1
Features of Accretion-phase Gravitational-wave Emission from Two-dimensional Rotating Core-collapse Supernovae
journal, June 2019
- Pajkos, Michael A.; Couch, Sean M.; Pan, Kuo-Chuan
- The Astrophysical Journal, Vol. 878, Issue 1
Optically targeted search for gravitational waves emitted by core-collapse supernovae during the first and second observing runs of advanced LIGO and advanced Virgo
journal, April 2020
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review D, Vol. 101, Issue 8
Gravitational Radiation from Neutron Stars
journal, February 1967
- Chau, Wai-Yin
- The Astrophysical Journal, Vol. 147
Gravitational-wave signature of core-collapse supernovae
journal, May 2023
- Vartanyan, David; Burrows, Adam; Wang, Tianshu
- Physical Review D, Vol. 107, Issue 10
The energetics of adiabatic shocks in stellar collapse
journal, August 1982
- Mazurek, T. J.
- The Astrophysical Journal, Vol. 259
A new Multi-Dimensional General Relativistic Neutrino Hydrodynamics code of Core-Collapse Supernovae. iii. Gravitational wave Signals from Supernova Explosion Models
journal, March 2013
- Müller, Bernhard; Janka, Hans-Thomas; Marek, Andreas
- The Astrophysical Journal, Vol. 766, Issue 1
Gravitational wave signature of proto-neutron star convection: I. MHD numerical simulations
journal, October 2021
- Raynaud, Raphaël; Cerdá-Durán, Pablo; Guilet, Jérôme
- Monthly Notices of the Royal Astronomical Society, Vol. 509, Issue 3
Gravitational wave signals from 3D neutrino hydrodynamics simulations of core-collapse supernovae
journal, March 2017
- Andresen, H.; Müller, B.; Müller, E.
- Monthly Notices of the Royal Astronomical Society, Vol. 468, Issue 2
Gravitational Radiation From a Spinning Ellipsoid of Uniform Density
journal, August 1965
- Chin, Chao-wen
- Physical Review, Vol. 139, Issue 3B
Gravitational Waves from a Core-Collapse Supernova: Perspectives with Detectors in the Late 2020s and Early 2030s
journal, May 2022
- Szczepańczyk, Marek; Zanolin, Michele
- Galaxies, Vol. 10, Issue 3
Gravitational waves from rotating and precessing rigid bodies: Simple models and applications to pulsars
journal, July 1979
- Zimmermann, Mark; Szedenits, Eugene
- Physical Review D, Vol. 20, Issue 2
Temporal and angular variations of 3D core-collapse supernova emissions and their physical correlations
journal, August 2019
- Vartanyan, David; Burrows, Adam; Radice, David
- Monthly Notices of the Royal Astronomical Society, Vol. 489, Issue 2
The missing link in gravitational-wave astronomy: discoveries waiting in the decihertz range
journal, October 2020
- Sedda, Manuel Arca; Berry, Christopher P. L.; Jani, Karan
- Classical and Quantum Gravity, Vol. 37, Issue 21
Exploring the relativistic regime with Newtonian hydrodynamics: an improved effective gravitational potential for supernova simulations
journal, December 2005
- Marek, A.; Dimmelmeier, H.; Janka, H. -Th.
- Astronomy & Astrophysics, Vol. 445, Issue 1
The Japanese space gravitational wave antenna: DECIGO
journal, April 2011
- Kawamura, Seiji; Ando, Masaki; Seto, Naoki
- Classical and Quantum Gravity, Vol. 28, Issue 9
Gravitational wave signatures of ab initio two-dimensional core collapse supernova explosion models for stars
journal, October 2015
- Yakunin, Konstantin N.; Mezzacappa, Anthony; Marronetti, Pedro
- Physical Review D, Vol. 92, Issue 8
Gravitational-wave sensitivity curves
journal, December 2014
- Moore, C. J.; Cole, R. H.; Berry, C. P. L.
- Classical and Quantum Gravity, Vol. 32, Issue 1
Correlated Signatures of Gravitational-wave and Neutrino Emission in Three-dimensional General-relativistic Core-collapse Supernova Simulations
journal, December 2017
- Kuroda, Takami; Kotake, Kei; Hayama, Kazuhiro
- The Astrophysical Journal, Vol. 851, Issue 1
Stochastic gravitational-wave background from cosmological supernovae
journal, October 2005
- Buonanno, Alessandra; Sigl, Günter; Raffelt, Georg G.
- Physical Review D, Vol. 72, Issue 8
Core-Collapse Supernova Equations of State Based on Neutron star Observations
journal, August 2013
- Steiner, A. W.; Hempel, M.; Fischer, T.
- The Astrophysical Journal, Vol. 774, Issue 1
Matplotlib: A 2D Graphics Environment
journal, January 2007
- Hunter, John D.
- Computing in Science & Engineering, Vol. 9, Issue 3
Gravitational wave burst signal from core collapse of rotating stars
journal, September 2008
- Dimmelmeier, Harald; Ott, Christian D.; Marek, Andreas
- Physical Review D, Vol. 78, Issue 6
Effects of Rotation on Stochasticity of Gravitational Waves in the Nonlinear Phase of Core-Collapse Supernovae
journal, July 2011
- Kotake, Kei; Iwakami-Nakano, Wakana; Ohnishi, Naofumi
- The Astrophysical Journal, Vol. 736, Issue 2
A generalized equation of state for hot, dense matter
journal, December 1991
- Lattimer, James M.; Douglas Swesty, F.
- Nuclear Physics A, Vol. 535, Issue 2
The NumPy Array: A Structure for Efficient Numerical Computation
journal, March 2011
- van der Walt, Stéfan; Colbert, S. Chris; Varoquaux, Gaël
- Computing in Science & Engineering, Vol. 13, Issue 2
Gravitational Waves from Neutrino Emission Asymmetries in Core-collapse Supernovae
journal, September 2020
- Vartanyan, David; Burrows, Adam
- The Astrophysical Journal, Vol. 901, Issue 2
Measuring the properties of
f − mode
oscillations of a protoneutron star by third-generation gravitational-wave detectors
journal, June 2023
- Afle, Chaitanya; Kundu, Suman Kumar; Cammerino, Jenna
- Physical Review D, Vol. 107, Issue 12
The influence of model parameters on the prediction of gravitational wave signals from stellar core collapse
journal, May 2010
- Scheidegger, S.; Käppeli, R.; Whitehouse, S. C.
- Astronomy and Astrophysics, Vol. 514
KAGRA: 2.5 generation interferometric gravitational wave detector
journal, January 2019
- KAGRA Collaboration, ; Akutsu, T.; Ando, M.
- Nature Astronomy, Vol. 3, Issue 1, p. 35-40
A new gravitational-wave signature of low-T/|W| instability in rapidly rotating stellar core collapse
journal, February 2020
- Shibagaki, Shota; Kuroda, Takami; Kotake, Kei
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 493, Issue 1
The SXS collaboration catalog of binary black hole simulations
journal, September 2019
- Boyle, Michael; Hemberger, Daniel; Iozzo, Dante A. B.
- Classical and Quantum Gravity, Vol. 36, Issue 19
Stochastic gravitational wave backgrounds
journal, November 2018
- Christensen, Nelson
- Reports on Progress in Physics, Vol. 82, Issue 1
Equation-of-state dependent features in shock-oscillation modulated neutrino and gravitational-wave signals from supernovae
journal, February 2009
- Marek, A.; Janka, H. -T.; Müller, E.
- Astronomy & Astrophysics, Vol. 496, Issue 2
An Improved Multipole Approximation for Self-Gravity and its Importance for Core-Collapse Supernova Simulations
journal, November 2013
- Couch, Sean M.; Graziani, Carlo; Flocke, Norbert
- The Astrophysical Journal, Vol. 778, Issue 2
Core collapse supernova gravitational wave emission for progenitors of 9.6, 15, and
25 M ⊙
journal, February 2023
- Mezzacappa, Anthony; Marronetti, Pedro; Landfield, Ryan E.
- Physical Review D, Vol. 107, Issue 4
Gravitational waves from core collapse supernovae
journal, September 2010
- Yakunin, Konstantin N.; Marronetti, Pedro; Mezzacappa, Anthony
- Classical and Quantum Gravity, Vol. 27, Issue 19
Gravitational waves from 3D MHD core collapse simulations
journal, September 2008
- Scheidegger, S.; Fischer, T.; Whitehouse, S. C.
- Astronomy & Astrophysics, Vol. 490, Issue 1
Enhanced sensitivity of the LIGO gravitational wave detector by using squeezed states of light
journal, July 2013
- Aasi, J.; Abadie, J.; Abbott, B. P.
- Nature Photonics, Vol. 7, Issue 8
Circular Polarizations of Gravitational Waves from Core-Collapse Supernovae: A Clear Indication of Rapid Rotation
journal, April 2016
- Hayama, Kazuhiro; Kuroda, Takami; Nakamura, Ko
- Physical Review Letters, Vol. 116, Issue 15
Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA
journal, April 2018
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Living Reviews in Relativity, Vol. 21, Issue 1
Gravitational waves from pulsars: emission by the magnetic field induced distortion
text, January 1996
- Bonazzola, S.; Gourgoulhon, E.
- arXiv
Three-dimensional simulations of rapidly rotating core-collapse supernovae: finding a neutrino-powered explosion aided by non-axisymmetric flows
journal, May 2016
- Takiwaki, Tomoya; Kotake, Kei; Suwa, Yudai
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 461, Issue 1
Anisotropic emission of neutrino and gravitational-wave signals from rapidly rotating core-collapse supernovae
journal, January 2018
- Takiwaki, Tomoya; Kotake, Kei
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 475, Issue 1
Detecting and reconstructing gravitational waves from the next galactic core-collapse supernova in the advanced detector era
journal, November 2021
- Szczepańczyk, Marek J.; Antelis, Javier M.; Benjamin, Michael
- Physical Review D, Vol. 104, Issue 10
Gravitational waves from the propagation of long gamma-ray burst jets
journal, November 2022
- Urrutia, Gerardo; De Colle, Fabio; Moreno, Claudia
- Monthly Notices of the Royal Astronomical Society, Vol. 518, Issue 4
Three dimensional magnetorotational core-collapse supernova explosions of a 39 solar mass progenitor star
journal, May 2023
- Powell, Jade; Müller, Bernhard; Aguilera-Dena, David R.
- Monthly Notices of the Royal Astronomical Society, Vol. 522, Issue 4
Characterizing the Gravitational Wave Signal from Core-collapse Supernovae
journal, April 2019
- Radice, David; Morozova, Viktoriya; Burrows, Adam
- The Astrophysical Journal, Vol. 876, Issue 1
Gravitational wave asteroseismology with protoneutron stars
journal, August 2016
- Sotani, Hajime; Takiwaki, Tomoya
- Physical Review D, Vol. 94, Issue 4
SciPy 1.0: fundamental algorithms for scientific computing in Python
journal, February 2020
- Virtanen, Pauli; Gommers, Ralf; Oliphant, Travis E.
- Nature Methods
Memory-triggered supernova neutrino detection
journal, August 2022
- Mukhopadhyay, Mainak; Lin, Zidu; Lunardini, Cecilia
- Physical Review D, Vol. 106, Issue 4
Stochastic gravitational-wave background from stellar core-collapse events
journal, March 2022
- Finkel, Bella; Andresen, Haakon; Mandic, Vuk
- Physical Review D, Vol. 105, Issue 6
A Model for Gravitational wave Emission from Neutrino-Driven Core-Collapse Supernovae
journal, December 2009
- Murphy, Jeremiah W.; Ott, Christian D.; Burrows, Adam
- The Astrophysical Journal, Vol. 707, Issue 2
Gravitational wave signatures from low-mode spiral instabilities in rapidly rotating supernova cores
journal, February 2014
- Kuroda, Takami; Takiwaki, Tomoya; Kotake, Kei
- Physical Review D, Vol. 89, Issue 4
A new Gravitational-Wave Signature from Standing Accretion Shock Instability in Supernovae
journal, September 2016
- Kuroda, Takami; Kotake, Kei; Takiwaki, Tomoya
- The Astrophysical Journal, Vol. 829, Issue 1
Advanced LIGO
journal, March 2015
- Aasi, J.; Abbott, B. P.; Abbott, R.
- Classical and Quantum Gravity, Vol. 32, Issue 7
New Equations of State in Simulations of Core-Collapse Supernovae
journal, March 2012
- Hempel, M.; Fischer, T.; Schaffner-Bielich, J.
- The Astrophysical Journal, Vol. 748, Issue 1
Equation of State Dependent Dynamics and Multi-messenger Signals from Stellar-mass Black Hole Formation
journal, April 2018
- Pan, Kuo-Chuan; Liebendörfer, Matthias; Couch, Sean M.
- The Astrophysical Journal, Vol. 857, Issue 1
Angular momentum redistribution by SASI spiral modes and consequences for neutron star spins
journal, May 2014
- Guilet, J.; Fernandez, R.
- Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 3
Determining gravitational radiation from Newtonian self-gravitating systems
journal, March 1990
- Finn, Lee Samuel; Evans, Charles R.
- The Astrophysical Journal, Vol. 351
PARAMESH: A parallel adaptive mesh refinement community toolkit
journal, April 2000
- MacNeice, Peter; Olson, Kevin M.; Mobarry, Clark
- Computer Physics Communications, Vol. 126, Issue 3
Gravitational radiation from young magnetars: Preliminary results
journal, February 2001
- Palomba, C.
- Astronomy & Astrophysics, Vol. 367, Issue 2
The evolution of rotating stars. II - Calculations with time-dependent redistribution of angular momentum for 7- and 10-solar-mass stars
journal, February 1978
- Endal, A. S.; Sofia, S.
- The Astrophysical Journal, Vol. 220
Chapter 3. A Way to 3D Numerical Relativity
journal, January 1997
- Oohara, Ken-ichi; Nakamura, Takashi; Shibata, Masaru
- Progress of Theoretical Physics Supplement, Vol. 128
Pulsar Recoil and Gravitational Radiation Due to Asymmetrical Stellar Collapse and Explosion
journal, January 1996
- Burrows, Adam; Hayes, John
- Physical Review Letters, Vol. 76, Issue 3
A Simple Parameterization of the Consequences of Deleptonization for Simulations of Stellar Core Collapse
journal, November 2005
- Liebendorfer, Matthias
- The Astrophysical Journal, Vol. 633, Issue 2
Determining the Structure of Rotating Massive Stellar Cores with Gravitational Waves
journal, June 2021
- Pajkos, Michael A.; Warren, MacKenzie L.; Couch, Sean M.
- The Astrophysical Journal, Vol. 914, Issue 2
Three-dimensional core-collapse supernova simulations of massive and rotating progenitors
journal, April 2020
- Powell, Jade; Müller, Bernhard
- Monthly Notices of the Royal Astronomical Society, Vol. 494, Issue 4