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General Relativity and Quantum Cosmology, gr-qc
Abstract:
We present the gravitational-wave flux balance law in an extreme mass-ratio
binary with a spinning secondary. This law relates the flux of energy (angular
momentum) radiated to null infinity and through the event horizon to the local
change in the secondary's orbital energy (angular momentum) for generic
(non-resonant) bound orbits in Kerr spacetime. As an explicit example we
compute these quantities for a spin-aligned body moving on a circular orbit
around a Schwarzschild black hole. We perform this calculation both
analytically, via a high-order post-Newtonian expansion, and numerically in two
different gauges. Using these results we demonstrate explicitly that our new
balance law holds.
