Gravitational Radiation from Close Binaries with Time-Varying Masses. (arXiv:1902.10716v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Holgado_A/0/1/0/all/0/1">A. Miguel Holgado</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Ricker_P/0/1/0/all/0/1">Paul M. Ricker</a>
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 multi-band spectrum. In this Letter, we introduce new contributions
to the gravitational radiation from close binaries that arise from time-varying
masses along with those produced by orbital motion. We derive new formulae for
these effects in the quadrupolar approximation for binary point masses. The
formulae with time-variable masses reduce to the formulae that Peters and
Mathews (1963) derived when the mass of each component is taken to be constant.
We show that gravitational radiation from mass variation can be orders of
magnitude greater than that of orbital motion.
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 multi-band spectrum. In this Letter, we introduce new contributions
to the gravitational radiation from close binaries that arise from time-varying
masses along with those produced by orbital motion. We derive new formulae for
these effects in the quadrupolar approximation for binary point masses. The
formulae with time-variable masses reduce to the formulae that Peters and
Mathews (1963) derived when the mass of each component is taken to be constant.
We show that gravitational radiation from mass variation can be orders of
magnitude greater than that of orbital motion.
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