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

Title: Gravitational Radiation from Close Binaries with Time-varying Masses

Abstract

In the quadrupole approximation of general relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the main sources and backgrounds for gravitational-wave detectors across the multiband spectrum. In this paper, we introduce additional contributions to the gravitational radiation from close binaries that arise from time-varying masses along with those produced by orbital motion. Further, we derive phase-dependent formulae for these effects in the quadrupolar limit for binary point masses, which reduce to the formulae that Peters & Mathews derived when the mass of each component is taken to be constant. Finally, we show that gravitational radiation from mass variation can be orders of magnitude greater than that of orbital motion.

Authors:
ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of Illinois at Urbana-Champaign, IL (United States)
Publication Date:
Research Org.:
Krell Institute, Ames, IA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1614433
Grant/Contract Number:  
NA0003864
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 882; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; binaries: close; gravitational waves

Citation Formats

Holgado, A. Miguel, and Ricker, Paul M. Gravitational Radiation from Close Binaries with Time-varying Masses. United States: N. p., 2019. Web. doi:10.3847/1538-4357/ab3293.
Holgado, A. Miguel, & Ricker, Paul M. Gravitational Radiation from Close Binaries with Time-varying Masses. United States. https://doi.org/10.3847/1538-4357/ab3293
Holgado, A. Miguel, and Ricker, Paul M. Fri . "Gravitational Radiation from Close Binaries with Time-varying Masses". United States. https://doi.org/10.3847/1538-4357/ab3293. https://www.osti.gov/servlets/purl/1614433.
@article{osti_1614433,
title = {Gravitational Radiation from Close Binaries with Time-varying Masses},
author = {Holgado, A. Miguel and Ricker, Paul M.},
abstractNote = {In the quadrupole approximation of general relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the main sources and backgrounds for gravitational-wave detectors across the multiband spectrum. In this paper, we introduce additional contributions to the gravitational radiation from close binaries that arise from time-varying masses along with those produced by orbital motion. Further, we derive phase-dependent formulae for these effects in the quadrupolar limit for binary point masses, which reduce to the formulae that Peters & Mathews derived when the mass of each component is taken to be constant. Finally, we show that gravitational radiation from mass variation can be orders of magnitude greater than that of orbital motion.},
doi = {10.3847/1538-4357/ab3293},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 882,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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


Orbital Evolution of Mass-Transferring Eccentric Binary Systems. i. Phase-Dependent Evolution
journal, June 2016


Orbital Evolution of Mass-Transferring Eccentric Binary Systems. ii. Secular Evolution
journal, June 2016


GW170817: Observation of gravitational waves from a binary neutron star inspiral
text, January 2017

  • Abbott, B. P.; Abbott, R.; Abbott, T. D.
  • American Physical Society
  • DOI: 10.5167/uzh-147231

Analytic solutions of the two-body problem with variable mass
journal, January 1966


Disentangling Coalescing Neutron-Star–White-Dwarf Binaries for LISA
journal, September 2018


A Comprehensive Study of Binary Compact Objects as Gravitational Wave Sources: Evolutionary Channels, Rates, and Physical Properties
journal, June 2002

  • Belczynski, Krzysztof; Kalogera, Vassiliki; Bulik, Tomasz
  • The Astrophysical Journal, Vol. 572, Issue 1
  • DOI: 10.1086/340304

Into the Lair: Gravitational-Wave Signatures of dark Matter
journal, August 2013


Gravitational Radiation from Point Masses in a Keplerian Orbit
journal, July 1963


Orbital Characteristics of Binary Systems after Asymmetric Supernova Explosions
journal, November 1996

  • Kalogera, Vassiliki
  • The Astrophysical Journal, Vol. 471, Issue 1
  • DOI: 10.1086/177974

Two-body problem with variable mass: A new approach
journal, January 1963


Gravitational radiation and the motion of two point masses
text, January 1964


GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
journal, June 2016


Discovery of a pulsar in a binary system
journal, January 1975

  • Hulse, R. A.; Taylor, J. H.
  • The Astrophysical Journal, Vol. 195
  • DOI: 10.1086/181708

GW170814: a three-detector observation of gravitational waves from a binary black hole coalescence
text, January 2017

  • Abbott, B. P.; Abbott, R.; Abbott, T. D.
  • American Physical Society
  • DOI: 10.5167/uzh-144551

Approximations to the radii of Roche lobes
journal, May 1983

  • Eggleton, P. P.
  • The Astrophysical Journal, Vol. 268
  • DOI: 10.1086/160960

Pulsar timing constraints on the Fermi massive black hole binary blazar population
journal, August 2018

  • Holgado, A. Miguel; Sesana, Alberto; Sandrinelli, Angela
  • Monthly Notices of the Royal Astronomical Society: Letters, Vol. 481, Issue 1
  • DOI: 10.1093/mnrasl/sly158

Gravitational Radiation and the Motion of Two Point Masses
journal, November 1964


Observation of Gravitational Waves from a Binary Black Hole Merger
journal, February 2016


GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
journal, June 2017


GW170608: Observation of a 19 Solar-mass Binary Black Hole Coalescence
journal, December 2017


Compact Object Modeling with the StarTrack Population Synthesis Code
journal, January 2008

  • Belczynski, Krzysztof; Kalogera, Vassiliki; Rasio, Frederic A.
  • The Astrophysical Journal Supplement Series, Vol. 174, Issue 1
  • DOI: 10.1086/521026

GW170608: Observation of a 19 Solar-mass Binary Black Hole Coalescence
other, January 2017

  • Abbott, B. P.; Abbott, R.; Abbott, T. D.
  • Bristol : Institute of Physics Publishing
  • DOI: 10.15488/3346

Orbital Decay of a Binary System Consisting of Spin-Down Neutron Stars
journal, December 2004


LISA: laser interferometer space antenna for gravitational wave measurements
journal, November 1996


Matplotlib: A 2D Graphics Environment
journal, January 2007


Testing the Binary Hypothesis: Pulsar Timing Constraints on Supermassive Black Hole Binary Candidates
journal, March 2018

  • Sesana, Alberto; Haiman, Zoltán; Kocsis, Bence
  • The Astrophysical Journal, Vol. 856, Issue 1
  • DOI: 10.3847/1538-4357/aaad0f

Asymptotic expansions in the perturbed two-body problem with application to systems with variable mass
journal, February 1975


Can environmental effects spoil precision gravitational-wave astrophysics?
journal, May 2014


Evolutionary Processes in Close Binary Systems
journal, September 1971


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
  • DOI: 10.1109/MCSE.2011.37

CASSPER is a semantic segmentation-based particle picking algorithm for single-particle cryo-electron microscopy
journal, February 2021


The NANOGrav 11 Year Data Set: Pulsar-timing Constraints on the Stochastic Gravitational-wave Background
journal, May 2018


Prospects for Multiband Gravitational-Wave Astronomy after GW150914
journal, June 2016


Gravitational Waves from Accreting Neutron Stars Undergoing Common-envelope Inspiral
journal, April 2018

  • Holgado, A. Miguel; Ricker, Paul M.; Huerta, E. A.
  • The Astrophysical Journal, Vol. 857, Issue 1
  • DOI: 10.3847/1538-4357/aab6a9

GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
journal, October 2017


Testing The Binary Hypothesis: Pulsar Timing Constraints On Supermassive Black Hole Binary Candidates
text, January 2017


GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
other, January 2017

  • Abbott, B. P.; Abbott, R.; Abbott, T. D.
  • College Park : American Physical Society
  • DOI: 10.15488/4798

GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
other, January 2016

  • Abbott, B. P.; Abbott, R.; Abbott, T. D.
  • College Park, MD : American Physical Society
  • DOI: 10.15488/756

LISA - Laser Interferometer Space Antenna for gravitational wave measurements
conference, August 1995

  • Folkner, W.; Hellings, R.; Maleki, L.
  • 33rd Aerospace Sciences Meeting and Exhibit
  • DOI: 10.2514/6.1995-829

Testing The Binary Hypothesis: Pulsar Timing Constraints On Supermassive Black Hole Binary Candidates
text, January 2017


GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
other, January 2017

  • Abbott, B. P.; Abbott, R.; Abbott, T. D.
  • College Park, MD : American Physical Society
  • DOI: 10.15488/2101

Gravitational Waves from Accreting Neutron Stars undergoing Common-Envelope Inspiral
text, January 2017


GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
text, January 2017


GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
text, January 2017


Pulsar Timing Constraints on the Fermi Massive Black-Hole Binary Blazar Population
text, January 2018


Works referencing / citing this record:

Stochastic gravitational wave background from accreting primordial black hole binaries during early inspiral stage
journal, November 2019


Gravitational waves from supernova mass loss and natal kicks in close binaries
journal, October 2019

  • Holgado, A. Miguel; Ricker, Paul M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 4
  • DOI: 10.1093/mnras/stz2925