Spin effects in gravitational radiation back reaction. I. The Lense-Thirring approximation

L. Gergely, Zoltán I. Perjés, M. Vasúth

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The gravitational radiation hack reaction effects are considered in the Lense-Thirring approximation. New methods for parametrizing the orbit and for averaging the instantaneous radiative losses are developed. To first order in the spin S of the black hole, both in the absence and in the presence of gravitational radiation, a complete description of the test-particle orbit is given. This is achieved by two improvements over the existing descriptions: first, by introducing new angle variables with a straightforward geometrical meaning: second, by finding a new parametrization of a generic orbit, which assures that the integration over a radial period can be done in an especially simple way, by applying the residue theorem. The instantaneous gravitational radiation losses of the system are computed using the formulation of Blanchet. Damour and Iyer. All losses are given both in terms of the dynamical constants of motion and the properly defined orbital elements a, e, ι and ψ0. The radiative losses of the constants characterizing the Lense-Thirring motion, when suitably converted, are in agreement with earlier results of Kidder, Will and Wiseman. Ryan and Shibata. In addition, the radiative losses of two slowly changing orbital elements ψ0 , Φ0 are given in order to complete the characterization of the orbit.

Original languageEnglish
Pages (from-to)876-884
Number of pages9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume57
Issue number2
Publication statusPublished - Jan 15 1998

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gravitational waves
Radiation
Orbit
orbits
Approximation
approximation
orbital elements
Instantaneous
Residue Theorem
Motion
Parametrization
Black Holes
Averaging
theorems
First-order
formulations
Angle
Formulation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Spin effects in gravitational radiation back reaction. I. The Lense-Thirring approximation. / Gergely, L.; Perjés, Zoltán I.; Vasúth, M.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 57, No. 2, 15.01.1998, p. 876-884.

Research output: Contribution to journalArticle

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