DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Equation-of-state Dependence of Gravitational Waves in Core-collapse Supernovae

Abstract

Gravitational waves (GWs) provide unobscured insight into the birthplace of neutron stars and black holes in core-collapse supernovae (CCSNe). The nuclear equation of state (EOS) describing these dense environments is yet uncertain, and variations in its prescription affect the proto-neutron star (PNS) and the post-bounce dynamics in CCSN simulations, subsequently impacting the GW emission. In this study, we perform axisymmetric simulations of CCSNe with Skyrme-type EOSs to study how the GW signal and PNS convection zone are impacted by two experimentally accessible EOS parameters, (1) the effective mass of nucleons, m*, which is crucial in setting the thermal dependence of the EOS, and (2) the isoscalar incompressibility modulus, Ksat. While Ksat shows little impact, the peak frequency of the GWs has a strong effective mass dependence due to faster contraction of the PNS for higher values of m* owing to a decreased thermal pressure. These more compact PNSs also exhibit more neutrino heating, which drives earlier explosions and correlates with the GW amplitude via accretion plumes striking the PNS, exciting the oscillations. We investigate the spatial origin of the GWs and show the agreement between a frequency-radial distribution of the GW emission and a perturbation analysis. We do not rulemore » out overshoot from below via PNS convection as another moderately strong excitation mechanism in our simulations. We also study the combined effect of effective mass and rotation. In all our simulations we find evidence for a power gap near ~1250 Hz; we investigate its origin and report its EOS dependence.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]
  1. Stockholm Univ. (Sweden)
  2. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); Swedish Research Council (SRC)
OSTI Identifier:
1981233
Grant/Contract Number:  
SC0015904; SC0017955; 2016-07213
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal
Additional Journal Information:
Journal Volume: 923; Journal Issue: 2; Journal ID: ISSN 0004-637X
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astronomy; astrophysics

Citation Formats

Eggenberger Andersen, Oliver, Zha, Shuai, da Silva Schneider, André, Betranhandy, Aurore, Couch, Sean M., and O’Connor, Evan P. Equation-of-state Dependence of Gravitational Waves in Core-collapse Supernovae. United States: N. p., 2021. Web. doi:10.3847/1538-4357/ac294c.
Eggenberger Andersen, Oliver, Zha, Shuai, da Silva Schneider, André, Betranhandy, Aurore, Couch, Sean M., & O’Connor, Evan P. Equation-of-state Dependence of Gravitational Waves in Core-collapse Supernovae. United States. https://doi.org/10.3847/1538-4357/ac294c
Eggenberger Andersen, Oliver, Zha, Shuai, da Silva Schneider, André, Betranhandy, Aurore, Couch, Sean M., and O’Connor, Evan P. Wed . "Equation-of-state Dependence of Gravitational Waves in Core-collapse Supernovae". United States. https://doi.org/10.3847/1538-4357/ac294c. https://www.osti.gov/servlets/purl/1981233.
@article{osti_1981233,
title = {Equation-of-state Dependence of Gravitational Waves in Core-collapse Supernovae},
author = {Eggenberger Andersen, Oliver and Zha, Shuai and da Silva Schneider, André and Betranhandy, Aurore and Couch, Sean M. and O’Connor, Evan P.},
abstractNote = {Gravitational waves (GWs) provide unobscured insight into the birthplace of neutron stars and black holes in core-collapse supernovae (CCSNe). The nuclear equation of state (EOS) describing these dense environments is yet uncertain, and variations in its prescription affect the proto-neutron star (PNS) and the post-bounce dynamics in CCSN simulations, subsequently impacting the GW emission. In this study, we perform axisymmetric simulations of CCSNe with Skyrme-type EOSs to study how the GW signal and PNS convection zone are impacted by two experimentally accessible EOS parameters, (1) the effective mass of nucleons, m*, which is crucial in setting the thermal dependence of the EOS, and (2) the isoscalar incompressibility modulus, Ksat. While Ksat shows little impact, the peak frequency of the GWs has a strong effective mass dependence due to faster contraction of the PNS for higher values of m* owing to a decreased thermal pressure. These more compact PNSs also exhibit more neutrino heating, which drives earlier explosions and correlates with the GW amplitude via accretion plumes striking the PNS, exciting the oscillations. We investigate the spatial origin of the GWs and show the agreement between a frequency-radial distribution of the GW emission and a perturbation analysis. We do not rule out overshoot from below via PNS convection as another moderately strong excitation mechanism in our simulations. We also study the combined effect of effective mass and rotation. In all our simulations we find evidence for a power gap near ~1250 Hz; we investigate its origin and report its EOS dependence.},
doi = {10.3847/1538-4357/ac294c},
journal = {The Astrophysical Journal},
number = 2,
volume = 923,
place = {United States},
year = {Wed Dec 22 00:00:00 EST 2021},
month = {Wed Dec 22 00:00:00 EST 2021}
}

Works referenced in this record:

Equation of State and Progenitor Dependence of Stellar-mass Black Hole Formation
journal, April 2020

  • Schneider, André da Silva; O’Connor, Evan; Granqvist, Elvira
  • The Astrophysical Journal, Vol. 894, Issue 1
  • DOI: 10.3847/1538-4357/ab8308

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
  • DOI: 10.1086/317361

Nucleosynthesis and remnants in massive stars of solar metallicity
journal, April 2007


Supernova Neutrino Opacity from Nucleon‐Nucleon Bremsstrahlung and Related Processes
journal, November 1998

  • Hannestad, Steen; Raffelt, Georg
  • The Astrophysical Journal, Vol. 507, Issue 1
  • DOI: 10.1086/306303

Neutrino opacities in nuclear matter
journal, October 2006


Equation-of-state dependent features in shock-oscillation modulated neutrino and gravitational-wave signals from supernovae
journal, February 2009


Equations of state for supernovae and compact stars
journal, March 2017


A Massive Pulsar in a Compact Relativistic Binary
journal, April 2013


The Gravitational Wave Signal from Core-collapse Supernovae
journal, June 2018

  • Morozova, Viktoriya; Radice, David; Burrows, Adam
  • The Astrophysical Journal, Vol. 861, Issue 1
  • DOI: 10.3847/1538-4357/aac5f1

Astrophysical Implications of the Binary Black hole Merger Gw150914
journal, February 2016


Equation of state for dense nucleonic matter from metamodeling. I. Foundational aspects
journal, February 2018

  • Margueron, Jérôme; Hoffmann Casali, Rudiney; Gulminelli, Francesca
  • Physical Review C, Vol. 97, Issue 2
  • DOI: 10.1103/PhysRevC.97.025805

Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy
journal, October 2017

  • Tews, Ingo; Lattimer, James M.; Ohnishi, Akira
  • The Astrophysical Journal, Vol. 848, Issue 2
  • DOI: 10.3847/1538-4357/aa8db9

The Influence of Thermal Pressure on Equilibrium Models of Hypermassive Neutron star Merger Remnants
journal, June 2014


Rotation-supported Neutrino-driven Supernova Explosions in Three Dimensions and the Critical Luminosity Condition
journal, January 2018

  • Summa, Alexander; Janka, Hans-Thomas; Melson, Tobias
  • The Astrophysical Journal, Vol. 852, Issue 1
  • DOI: 10.3847/1538-4357/aa9ce8

Measuring gravitational waves from binary black hole coalescences. I. Signal to noise for inspiral, merger, and ringdown
journal, April 1998


Towards asteroseismology of core-collapse supernovae with gravitational wave observations – II. Inclusion of space–time perturbations
journal, October 2018

  • Torres-Forné, Alejandro; Cerdá-Durán, Pablo; Passamonti, Andrea
  • Monthly Notices of the Royal Astronomical Society, Vol. 482, Issue 3
  • DOI: 10.1093/mnras/sty2854

The Dependence of the Neutrino Mechanism of Core-Collapse Supernovae on the Equation of State
journal, February 2013


Thermal properties of supernova matter: The bulk homogeneous phase
journal, June 2014

  • Constantinou, Constantinos; Muccioli, Brian; Prakash, Madappa
  • Physical Review C, Vol. 89, Issue 6
  • DOI: 10.1103/PhysRevC.89.065802

An Open-Source Neutrino Radiation Hydrodynamics code for Core-Collapse Supernovae
journal, August 2015


Multimessenger asteroseismology of core-collapse supernovae
journal, December 2019

  • Westernacher-Schneider, John Ryan; O’Connor, Evan; O’Sullivan, Erin
  • Physical Review D, Vol. 100, Issue 12
  • DOI: 10.1103/PhysRevD.100.123009

Black hole Formation in Failing Core-Collapse Supernovae
journal, March 2011


Gravitational wave Signatures in Black hole Forming core Collapse
journal, December 2013


Equation of state effects in the core collapse of a 20 M star
journal, November 2019


Consistent perturbative modeling of pseudo-Newtonian core-collapse supernova simulations
journal, April 2020


Equation of state constraints for the cold dense matter inside neutron stars using the cooling tail method
journal, June 2016


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
  • DOI: 10.1093/mnrasl/sly008

Gravitational-wave signal of a core-collapse supernova explosion of a 15 M star
journal, July 2020


Physical mechanism of the inverse energy cascade of two-dimensional turbulence: a numerical investigation
journal, January 2009


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
  • DOI: 10.1103/PhysRevD.104.102002

yt: A MULTI-CODE ANALYSIS TOOLKIT FOR ASTROPHYSICAL SIMULATION DATA
journal, December 2010

  • Turk, Matthew J.; Smith, Britton D.; Oishi, Jeffrey S.
  • The Astrophysical Journal Supplement Series, Vol. 192, Issue 1
  • DOI: 10.1088/0067-0049/192/1/9

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
  • DOI: 10.1093/mnras/stz990

Post-Newtonian hydrodynamics and post-Newtonian gravitational wave generation for numerical relativity
journal, June 1990

  • Blanchet, L.; Damour, T.; Schaefer, G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 242, Issue 3
  • DOI: 10.1093/mnras/242.3.289

Two-dimensional Core-collapse Supernova Explosions Aided by General Relativity with Multidimensional Neutrino Transport
journal, February 2018


Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae
journal, September 2018


Incompressibility of neutron-rich matter
journal, May 2009


Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
journal, June 2021


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
  • DOI: 10.3847/2041-8213/ab191a

Avoided crossing in gravitational wave spectra from protoneutron star
journal, August 2020

  • Sotani, Hajime; Takiwaki, Tomoya
  • Monthly Notices of the Royal Astronomical Society, Vol. 498, Issue 3
  • DOI: 10.1093/mnras/staa2597

SciPy 1.0: fundamental algorithms for scientific computing in Python
journal, February 2020


Wave heating from proto-neutron star convection and the core-collapse supernova explosion mechanism
journal, November 2019

  • Gossan, Sarah E.; Fuller, Jim; Roberts, Luke F.
  • Monthly Notices of the Royal Astronomical Society, Vol. 491, Issue 4
  • DOI: 10.1093/mnras/stz3243

GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
journal, October 2017


Quartic isospin asymmetry energy of nuclear matter from chiral pion-nucleon dynamics
journal, June 2015


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
  • DOI: 10.3847/1538-4357/ab1de2

Open-source nuclear equation of state framework based on the liquid-drop model with Skyrme interaction
journal, December 2017


New equations of state constrained by nuclear physics, observations, and QCD calculations of high-density nuclear matter
journal, February 2021


Weak magnetism for antineutrinos in supernovae
journal, January 2002


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
  • DOI: 10.1088/0004-637X/766/1/43

Gravitational wave emission from 3D explosion models of core-collapse supernovae with low and normal explosion energies
journal, May 2019

  • Powell, Jade; Müller, Bernhard
  • Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 1
  • DOI: 10.1093/mnras/stz1304

Multipole expansions of gravitational radiation
journal, April 1980


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
  • DOI: 10.1093/mnras/stx618

Parametrized 3D models of neutrino-driven supernova explosions: Neutrino emission asymmetries and gravitational-wave signals
journal, January 2012


The role of Turbulence in Neutrino-Driven Core-Collapse Supernova Explosions
journal, January 2015


Determination of the Equation of State of Dense Matter
journal, October 2002


Observing the next Galactic Supernova
journal, November 2013


A Model for Gravitational wave Emission from Neutrino-Driven Core-Collapse Supernovae
journal, December 2009


Akmal-Pandharipande-Ravenhall equation of state for simulations of supernovae, neutron stars, and binary mergers
journal, August 2019


Gravitational-wave signals from 3D supernova simulations with different neutrino-transport methods
journal, March 2021

  • Andresen, H.; Glas, R.; Janka, H-Th
  • Monthly Notices of the Royal Astronomical Society, Vol. 503, Issue 3
  • DOI: 10.1093/mnras/stab675

Impact of neutrino pair-production rates in core-collapse supernovae
journal, December 2020


Exploring the relativistic regime with Newtonian hydrodynamics: an improved effective gravitational potential for supernova simulations
journal, December 2005


High-Resolution Three-Dimensional Simulations of Core-Collapse Supernovae in Multiple Progenitors
journal, April 2014


Equation of State Effects in Core-Collapse Supernovae
journal, March 2020


Composition and structure of protoneutron stars
journal, February 1997


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
  • DOI: 10.3847/1538-4357/aab71d

Array programming with NumPy
journal, September 2020

  • Harris, Charles R.; Millman, K. Jarrod; van der Walt, Stéfan J.
  • Nature, Vol. 585, Issue 7825
  • DOI: 10.1038/s41586-020-2649-2

Gravitational wave signatures of ab initio two-dimensional core collapse supernova explosion models for 12 25 M stars
journal, October 2015

  • Yakunin, Konstantin N.; Mezzacappa, Anthony; Marronetti, Pedro
  • Physical Review D, Vol. 92, Issue 8
  • DOI: 10.1103/PhysRevD.92.084040

The dynamics of neutrino-driven supernova explosions after shock revival in 2D and 3D
journal, August 2015

  • Müller, B.
  • Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 1
  • DOI: 10.1093/mnras/stv1611

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
  • DOI: 10.3847/1538-4357/aa988d

Core‐Collapse Simulations of Rotating Stars
journal, October 2000

  • Fryer, Chris L.; Heger, Alexander
  • The Astrophysical Journal, Vol. 541, Issue 2
  • DOI: 10.1086/309446

The Dominance of Neutrino-Driven Convection in Core-Collapse Supernovae
journal, June 2013

  • Murphy, Jeremiah W.; Dolence, Joshua C.; Burrows, Adam
  • The Astrophysical Journal, Vol. 771, Issue 1
  • DOI: 10.1088/0004-637X/771/1/52

Matplotlib: A 2D Graphics Environment
journal, January 2007


Towards asteroseismology of core-collapse supernovae with gravitational-wave observations – I. Cowling approximation
journal, November 2017

  • Torres-Forné, Alejandro; Cerdá-Durán, Pablo; Passamonti, Andrea
  • Monthly Notices of the Royal Astronomical Society, Vol. 474, Issue 4
  • DOI: 10.1093/mnras/stx3067

Universal Relations for Gravitational-Wave Asteroseismology of Protoneutron Stars
journal, July 2019

  • Torres-Forné, Alejandro; Cerdá-Durán, Pablo; Obergaulinger, Martin
  • Physical Review Letters, Vol. 123, Issue 5
  • DOI: 10.1103/PhysRevLett.123.051102

Stellar core collapse - Numerical model and infall epoch
journal, August 1985

  • Bruenn, S. W.
  • The Astrophysical Journal Supplement Series, Vol. 58
  • DOI: 10.1086/191056

Determining gravitational radiation from Newtonian self-gravitating systems
journal, March 1990

  • Finn, Lee Samuel; Evans, Charles R.
  • The Astrophysical Journal, Vol. 351
  • DOI: 10.1086/168497

Constraining the equation of state of dense nuclear matter using thermal emission of neutron stars
journal, October 2020

  • Baillot d’Étivaux, Nicolas; Margueron, Jérôme; Guillot, Sebastien
  • Journal of Physics: Conference Series, Vol. 1667
  • DOI: 10.1088/1742-6596/1667/1/012001

A generalized equation of state for hot, dense matter
journal, December 1991


Degenerate limit thermodynamics beyond leading order for models of dense matter
journal, December 2015


Physical properties of hot, dense matter: The general case
journal, January 1985


The influence of model parameters on the prediction of gravitational wave signals from stellar core collapse
journal, May 2010


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
  • DOI: 10.1093/mnras/staa1048

Gravitational-wave Signature of a First-order Quantum Chromodynamics Phase Transition in Core-Collapse Supernovae
journal, July 2020