Chapter 7 Gravitational Radiation Reaction
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概要
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In this chapter, we consider the radiation reaction to the motion of a point-like particle of mass m and specific spin S traveling on a curved background. Assuming S=O(Gm) and Gm ≪ L where L is the length scale of the background curvature, we divide the spacetime into two regions; the external region where the metric is approximated by the background metric plus perturbations due to a point-like particle and the internal region where the metric is approximated by that of a black hole plus perturbations due to the tidal effect of the background curvature, and use the technique of the matched asymptotic expansion to construct an approximate metric which is valid over the entire region. In this way, we avoid the divergent self-gravity at the position of the particle and derive the equations of motion from the consistency condition of the matching. The matching is done to the order necessary to include the effect of radiation reaction of O(Gm) with respect to the background metric as well as the effect of spin-induced force. The reaction term of O(Gm) is found to be completely due to tails of radiation, that is, due to curvature scattering of gravitational waves. In other words, the reaction force is found to depend on the entire history of the particle trajectory. Defining a regularized metric which consists of the background metric plus the tail part of the perturbed metric, we find the equations of motion reduce to the geodesic equation on this regularized metric, except for the spin-induced force which is locally expressed in terms of the curvature and spin tensors. Some implications of the result and future issues are briefly discussed.
- 理論物理学刊行会の論文
- 1997-12-26
著者
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SASAKI Misao
Yukawa Institute for Theoretical Physics, Kyoto University
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Sasaki Misao
Department Of Earth And Space Science Graduate School Of Science Osaka University
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Mino Yasushi
Department Of Earth And Space Science Graduate School Of Science Osaka University : Max-planck-insti
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Tanaka T
Department Of Physics Graduate School Of Science Kyoto University
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Tanaka Takahiro
Department Of Cardiology Showa General Hospital
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SASAKI Misao
Department of Earth and Space Science, Osaka University
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SASAKI Misao
Department of Earth and Space Science, Graduate School of Science Osaka University
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SASAKI Misao
Research Institute for Fundamental Physics, Kyoto University
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SASAKI Misao
Research Institute for Theoretical Physics, Hiroshima University
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SASAKI Misao
Department of Physics, School of Science, University of Tokyo
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MINO Ysushi
Dpartment of Earth and Space Science, Graduate School of Science Osaka University
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