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Adiabatic radiation reaction to the orbits in Kerr Spacetime

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arxiv gr-qc/0506092 v1 pith:R6NYTZMQ submitted 2005-06-17 gr-qc

classification gr-qc
keywords adiabaticconstantskerrmotionradiationreactionangularapproximation
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abstract

Geodesic motion of a point particle in Kerr geometry has three constants of motion, energy $E$, azimuthal angular momentum $L$, and Carter constant $Q$. Under the adiabatic approximation, radiation reaction effect is characterized by the time evolution of these constants. In this letter we show that the scheme to evaluate them can be dramatically simplified.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Secular evolution of orbital parameters for general bound orbits in Kerr spacetime

    gr-qc 2026-03 conditional novelty 6.0 of 10

    Analytic formulas for the orbit-averaged gravitational-wave fluxes of energy, angular momentum, and Carter constant for generic bound Kerr orbits are extended to 6PN order and O(e^16) in eccentricity, with numerical T...

  2. Resonant interactions from dynamical perturbers on generic orbits around an extreme mass ratio inspiral

    gr-qc 2025-07 conditional novelty 6.0 of 10

    A numerical scan of 141,130 third-body resonances in EMRI systems finds no action changes above 1% but some waveform phase shifts near 0.1 radian.

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