Adiabatic Evolution of Orbital Parameters in Kerr Spacetime

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Abstract

We investigate the adiabatic orbital evolution of a point particle in Kerr spacetime due to the emission of gravitational waves. In the case that the timescale of the orbital evolution is sufficiently smaller than the characteristic timescale of orbits, the evolution of orbits is characterized by the rates of change of three constants of motion, the energy E, the azimuthal angular momentum L, and the Carter constant Q. We can evaluate the rates of change of E and L from the fluxes of the energy and the angular momentum at infinity and on the event horizon, employing the balance argument. However, for the Carter constant, we cannot use the balance argument because we do not know the conserved current associated with it. Recently, Mino proposed a new method of evaluating the average rate of change rate of the Carter constant by using the radiative field. In a previous paper, we developed a simplified scheme for determining the evolution of the Carter constant based on Mino's proposal. In this paper we describe our scheme in more detail and derive explicit analytic formulae for the rates of change of the energy, the angular momentum and the Carter constant.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 115(5), 873-907, 2006-05-25

    Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan

References:  30

  • <no title>

    DANAZMAN K.

    LISA-Laser Interferometer Space Antenna, Pre-Phase A Report, 1998

    Cited by (1)

  • <no title>

    MINO Y.

    Prog. Theor. Phys. Suppl. 128, 1, 1997

    Cited by (1)

  • <no title>

    QUINN T. C.

    Phys. Rev. D 56, 3381, 1997

    Cited by (1)

  • <no title>

    DIRAC P. A. M.

    Proc. R. Soc. London A 167, 148, 1938

    Cited by (1)

  • <no title>

    MINO Y.

    Phys. Rev. D 67, 084027, 2003

    Cited by (1)

  • <no title>

    HUGHES S. A.

    Phys. Rev. Lett. 94, 221101, 2005

    Cited by (1)

  • <no title>

    DRASCO S.

    Phys. Rev. D 73, 024027, 2006

    Cited by (1)

  • <no title>

    DRASCO S.

    Class. Quantum Grav. 22, S801, 2005

    Cited by (1)

  • <no title>

    MINO Y.

    Prog. Theor. Phys. 113, 733, 2005

    Cited by (1)

  • <no title>

    TANAKA T.

    gr-qc/0508114

    Cited by (1)

  • <no title>

    POUND A.

    Phys. Rev. D 72, 124001, 2005

    Cited by (1)

  • <no title>

    MANO S.

    Prog. Theor. Phys. 97, 213, 1997

    Cited by (1)

  • <no title>

    MANO S.

    Prog. Theor. Phys. 95, 1079, 1996

    Cited by (1)

  • <no title>

    SASAKI M.

    Living Rev. Relativity 6, 6, 2003

    Cited by (1)

  • <no title>

    PRESS W. H.

    Numerical Recipes in C, 1992

    Cited by (1)

  • <no title>

    ORI A.

    Phys. Lett. A 202, 347, 1995

    Cited by (3)

  • <no title>

    ORI A.

    Phys. Rev. D 55, 3444, 1997

    Cited by (2)

  • <no title>

    MINO Y.

    Phys. Rev. D 55, 3457, 1997

    Cited by (4)

  • <no title>

    DETWEILER S.

    Phys. Rev. D 67, 024025, 2003

    Cited by (4)

  • <no title>

    GAL'TSOV D. V.

    J. of Phys. A 15, 3737, 1982

    Cited by (3)

  • <no title>

    SHIBATA M.

    Phys. Rev. D 51, 1646, 1995

    Cited by (1)

  • <no title>

    KENNEFICK D.

    Phys. Rev. D 53, 4319, 1996

    Cited by (2)

  • <no title>

    HUGHES S. A.

    Phys. Rev. D 61, 084004, 2000

    Cited by (1)

  • <no title>

    TEUKOLSKY S. A.

    Astrophys. J. 185, 635, 1973

    DOI  Cited by (26)

  • <no title>

    CHRZANOWSKI P. L.

    Phys. Rev. D 11, 2042, 1975

    Cited by (2)

  • <no title>

    WALD R. M.

    Phys. Rev. Lett. 41, 203, 1978

    Cited by (2)

  • <no title>

    FACKERELL E. D.

    J. Math. Phys. 18, 1849, 1977

    Cited by (1)

  • Adiabatic Radiation Reaction to Orbits in Kerr Spacetime

    SAGO N. , Takahiro TANAKA , Wataru HIKIDA , Hiroyuki NAKANO , Department of Earth and Space Science Graduate School of Science Osaka University , Department of Physics Graduate School of Science Kyoto University , Yukawa Institute for Theoretical Physics Kyoto University , Department of Mathematics and Physics Graduate School of Science Osaka City University

    Progress of Theoretical Physics 114(2), 509-514, 2005-08

    DOI  Cited by (4)

  • Post-Newtonian Expansion of Gravitational Waves from a Particle in Slightly Eccentric Orbit around a Rotating Black Hole

    TOGOSHI Hideyuki , Department of Physics Kyoto University

    Progress of Theoretical Physics 93(2), 307-333, 1995-02-25

    DOI  References (31) Cited by (4)

  • New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation

    FUJITA Ryuichi , TAGOSHI Hideyuki , Department of Earth and Space Science Graduate School of Science Osaka University , Department of Earth and Space Science Graduate School of Science Osaka University

    Progress of Theoretical Physics 112(3), 415-450, 2004-09-25

    DOI  References (35) Cited by (5)

Codes

  • NII Article ID (NAID)
    110004749484
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    7922526
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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