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Self-consistent adiabatic inspiral and transition motion
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Self-consistent adiabatic inspiral and transition motion
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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 Painlev\'e 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.
Forward citations
Cited by 1 Pith paper
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The significance of first post-adiabatic contributions for scalar charge measurements with intermediate and extreme mass ratio inspirals
Neglecting 1PA gravitational self-force biases intrinsic EMRI parameters while scalar-charge inference remains robust; pure-GR templates produce large biases and underestimated errors on charged signals.
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