Radiation-reaction-induced evolution of circular orbits of particles around Kerr Black Holes
Daniel Kennefick (Caltech), Amos Ori (Technion, Israel)
TL;DR
This paper shows that in the Kerr spacetime, circular particle orbits remain stable and circular under gravitational radiation reaction in the adiabatic approximation, with discussions on stability and breakdown conditions.
Contribution
It demonstrates the stability of non-equatorial circular orbits under radiation reaction in Kerr spacetime within the adiabatic approximation.
Findings
Circular orbits remain circular under radiation reaction.
Conditions for adiabaticity breakdown are discussed.
Stability of slightly non-circular orbits is analyzed.
Abstract
It is demonstrated that, in the adiabatic approximation, non-Equatorial circular orbits of particles in the Kerr metric (i.e. orbits of constant Boyer-Lindquist radius) remain circular under the influence of gravitational radiation reaction. A brief discussion is given of conditions for breakdown of adiabaticity and of whether slightly non-circular orbits are stable against the growth of eccentricity.
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