Coalescence Time of Compact Binary Systems

Lutendo Nyadzani; Soebur Razzaque

Coalescence Time of Compact Binary Systems

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arxiv 1905.06086 v2 pith:QYCX7KSP submitted 2019-05-15 astro-ph.HE gr-qc

Lutendo Nyadzani , Soebur Razzaque This is my paper · ORCID

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keywords binarytimeapproximationcircularcoalescencecompactorbitsystems

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abstract

Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of separation between the orbiting objects and eccentricity ($e$) of the orbit. We develop an improved analytical solution to the coalescence time for a circular binary system with an arbitrary semi-major axis, to the first post-Newtonian (1PN) accuracy. The results from the quadruple approximation and 1PN approximation are compared for a circular orbit ($e=0$).

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Gravitational radiation from binary systems with time varying masses
gr-qc 2026-08 conditional novelty 5.0 of 10

This paper extends the Peters-Mathews gravitational-wave emission formulas to binaries with time-varying masses and computes coalescence-time corrections for linear, exponential, and neutrino-wind mass-loss models.

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