The Gravitational Reaction Force on a Particle in the Schwarzschild Background.

  • Nakano Hiroyuki
    Department of Earth and Space Science, Graduate School of Science Osaka University, Toyonaka 560-0043, Japan
  • Sasaki Misao
    Department of Earth and Space Science, Graduate School of Science Osaka University, Toyonaka 560-0043, Japan

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タイトル別名
  • Gravitational Reaction Force on a Particle in the Schwarzschild Background

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We formulate a new method to calculate the gravitational reaction force on a particle of mass μ orbiting a massive black hole of mass M. In this formalism, the tail part of the retarded Green function, which is responsible for the reaction force, is calculated at the level of the Teukolsky equation. Our method naturally allows a systematic post-Minkowskian (PM) expansion of the tail part at short distances. As a first step, we consider the case of a Schwarzschild black hole and explicitly calculate the first post-Newtonian (1PN) tail part of the Green function. There are, however, a couple of issues to be resolved before explicitly evaluating the reaction force by applying the present method. We discuss possible resolutions of these issues.

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