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 inarXiv.org
Main Authors Compère, Geoffrey, Küchler, Lorenzo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 16.12.2021
Subjects
Adiabatic flow
Angular velocity
Asymptotic series
Orbital stability
Physics - General Relativity and Quantum Cosmology
Time
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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 quasi-circular 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2102.12747