The evolution of the 'constants' of motion in the Kerr background

Katsuhiko Ganz, Wataru Hikida, Norichika Sago, Hiroyuki Nakano, Takahiro Tanaka

Research output: Contribution to conferencePaper

Abstract

The orbit of a particle (mass μ) around the Kerr black hole (mass M) is approximately geodesic in the zeroth order of μ/M, and is characterized by three 'constants' of motion, the energy, angular momentum, and Carter constant. In the next order, the orbit deviates from geodesic by the effect of radiation reation. We give the change rates of these 'constants' of motion in the addiabatic approximation analytically.

Original languageEnglish
Pages179-182
Number of pages4
Publication statusPublished - Dec 1 2005
Event15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005 - Tokyo, Japan
Duration: Nov 28 2005Dec 2 2005

Other

Other15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005
CountryJapan
CityTokyo
Period11/28/0512/2/05

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orbits
particle mass
angular momentum
radiation
approximation
energy

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Ganz, K., Hikida, W., Sago, N., Nakano, H., & Tanaka, T. (2005). The evolution of the 'constants' of motion in the Kerr background. 179-182. Paper presented at 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005, Tokyo, Japan.

The evolution of the 'constants' of motion in the Kerr background. / Ganz, Katsuhiko; Hikida, Wataru; Sago, Norichika; Nakano, Hiroyuki; Tanaka, Takahiro.

2005. 179-182 Paper presented at 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005, Tokyo, Japan.

Research output: Contribution to conferencePaper

Ganz, K, Hikida, W, Sago, N, Nakano, H & Tanaka, T 2005, 'The evolution of the 'constants' of motion in the Kerr background' Paper presented at 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005, Tokyo, Japan, 11/28/05 - 12/2/05, pp. 179-182.
Ganz K, Hikida W, Sago N, Nakano H, Tanaka T. The evolution of the 'constants' of motion in the Kerr background. 2005. Paper presented at 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005, Tokyo, Japan.
Ganz, Katsuhiko ; Hikida, Wataru ; Sago, Norichika ; Nakano, Hiroyuki ; Tanaka, Takahiro. / The evolution of the 'constants' of motion in the Kerr background. Paper presented at 15th Workshop on General Relativity and Gravitation in Japan, JGRG 2005, Tokyo, Japan.4 p.
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