Progress towards a local expression for radiation reaction

Rachel Capon

Banach Center Publications (1997)

  • Volume: 41, Issue: 2, page 65-70
  • ISSN: 0137-6934

Abstract

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We report on progress towards finding a local expression for radiation reaction for a particle orbiting a Kerr black hole. The Dirac-Gal'tsov approach is described. For the case of a scalar particle in a circular orbit of a Schwarzschild black hole, an explicit calculation is done via this method and shown to be in agreement with overall energy conservation. A possible approach to the case of more general orbits is also discussed.

How to cite

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Capon, Rachel. "Progress towards a local expression for radiation reaction." Banach Center Publications 41.2 (1997): 65-70. <http://eudml.org/doc/252190>.

@article{Capon1997,
abstract = {We report on progress towards finding a local expression for radiation reaction for a particle orbiting a Kerr black hole. The Dirac-Gal'tsov approach is described. For the case of a scalar particle in a circular orbit of a Schwarzschild black hole, an explicit calculation is done via this method and shown to be in agreement with overall energy conservation. A possible approach to the case of more general orbits is also discussed.},
author = {Capon, Rachel},
journal = {Banach Center Publications},
keywords = {Kerr solution; two body problem; radiation reaction},
language = {eng},
number = {2},
pages = {65-70},
title = {Progress towards a local expression for radiation reaction},
url = {http://eudml.org/doc/252190},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Capon, Rachel
TI - Progress towards a local expression for radiation reaction
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 2
SP - 65
EP - 70
AB - We report on progress towards finding a local expression for radiation reaction for a particle orbiting a Kerr black hole. The Dirac-Gal'tsov approach is described. For the case of a scalar particle in a circular orbit of a Schwarzschild black hole, an explicit calculation is done via this method and shown to be in agreement with overall energy conservation. A possible approach to the case of more general orbits is also discussed.
LA - eng
KW - Kerr solution; two body problem; radiation reaction
UR - http://eudml.org/doc/252190
ER -

References

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  1. [1] E. Poisson, Gravitational radiation from a particle in circular orbit around a black hole. i. analytical results for the nonrotating case. Phys. Rev. D, 47: 1497-1510, 1993. 
  2. [2] H. Tagoshi and M. Sasaki, Post-Newtonian expansion of gravitational waves from a particle in circular orbit around a Schwarzschild black hole. Prog. Theor. Phys., 92: 745, 1994. 
  3. [3] E. Poisson and M. Sasaki, Gravitational radiation from a particle in circular orbit around a black hole. v. black-hole absorption and tail corrections. Phys. Rev. D, 51: 5753, 1995. 
  4. [4] H. Tagoshi, M. Shibata, T. Tanaka, and M. Sasaki, Post-Newtonian expansion of gravitational waves from a particle in circular orbits around a rotating black hole: Up to O ( v 8 ) beyond the quadrupole formula. Phys. Rev. D, 54: 1439, 1996. 
  5. [5] P. A. M. Dirac, Classical theory of radiating electrons. Proc. Roy. Soc. Lond. A., 167: 148-169, 1938. Zbl0023.42702
  6. [6] D. V. Gal'tsov, Radiation reaction in the Kerr gravitational field. J. Phys. A, 15: 3737-3749, 1982. 
  7. [7] P. L. Chrzanowski and C. W. Misner, Geodesic synchrotron radiation in the Kerr geometry by the method of asymptotically factorized Green's functions. Phys. Rev. D, 10: 1701-1721, 1974. 
  8. [8] P. L. Chrzanowski, Vector potential and metric perturbations of a rotating black hole. Phys. Rev. D, 11: 2042-2062, 1975. 
  9. [9] N. Andersson, Excitation of Schwarzschild black-hole quasinormal modes. Phys. Rev. D, 51: 353-363, 1995. 
  10. [10] E. S. C. Ching, P. T. Leung, W. M. Suen, and K. Young, Wave propagation in gravitational systems: Late time behaviour. Phys. Rev. D, 52: 2118-2132, 1995. 

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