Calculating the gravitational selfforce in Schwarzschild space-time

Nov, 2001
5 pages
Published in:
  • Phys.Rev.Lett. 88 (2002) 091101
e-Print:

Citations per year

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Abstract: (arXiv)
We present a practical method for calculating the local gravitational self-force (often called ``radiation-reaction force'') for a pointlike particle orbiting a Schwarzschild black hole. This is an implementation of the method of {\it mode-sum regularization}, in which one first calculates the (finite) contribution to the force due to each individual multipole mode of the perturbation, and then applies a certain regularization procedure to the mode sum. Here we give the values of all the ``regularization parameters'' required for implementing this regularization procedure, for any geodesic orbit in Schwarzschild spacetime.
  • black hole: Schwarzschild
  • charged particle: orbit
  • force: gravitation
  • regularization
  • multipole
  • space-time: perturbation
  • field theory: scalar