Self-Consistent Adiabatic Inspiral and Transition Motion

The transition motion of a point particle around the last stable orbit of Kerr is described at leading order in the transition-timescale expansion. Taking systematically into account all self-force effects, we prove that the transition motion is still described by the Painlevé transcendent equation...

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Bibliographic Details
Published inPhysical review letters Vol. 126; no. 24; p. 241106
Main Authors Compère, Geoffrey, Küchler, Lorenzo
Format Journal Article
LanguageEnglish
Published United States 18.06.2021
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Summary:The transition motion of a point particle around the last stable orbit of Kerr is described at leading order in the transition-timescale expansion. Taking systematically into account all self-force effects, we prove that the transition motion is still described by the Painlevé transcendent equation of the first kind. Using an asymptotically matched expansions scheme, we consistently match the quasicircular adiabatic inspiral with the transition motion. The matching requires us to take into account the secular change of angular velocity due to radiation reaction during the adiabatic inspiral, which consistently leads to a leading-order radial self-force in the slow timescale expansion.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.126.241106