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Adiabatic Evolution of three 'Constants' of Motion for Greatly Inclined Orbits in Kerr spacetime

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arxiv gr-qc/0702054 v2 pith:7AI4VFFE submitted 2007-02-09 gr-qc

Katsuhiko Ganz , Wataru Hikida , Hiroyuki Nakano , Norichika Sago , Takahiro Tanaka This is my paper · ORCID
classification gr-qc
keywords changeangularcarterconstantenergygravitationalkerrmass
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abstract

General orbits of a particle of small mass $\mu$ around a Kerr black hole of mass $M$ are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.

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Cited by 3 Pith papers

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

  1. Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole

    gr-qc 2024-11 conditional novelty 7.0 of 10

    The paper derives 12PN flux formulas for inclined spherical Kerr orbits, exact in spin and inclination.

  2. 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...

  3. Post-Newtonian templates for phase evolution of spherical extreme mass ratio inspirals

    gr-qc 2024-11 conditional novelty 6.0 of 10

    A 12PN analytic phase model for quasi-spherical inclined EMRIs in Kerr spacetime is presented, and TaylorT1 is found to converge fastest among the time-domain approximants.

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