Phys. Rev. Lett. 88, 091101 (2002) [4 pages]Calculating the Gravitational Self-Force in Schwarzschild Spacetime |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1981: |
Leor Barack1, Yasushi Mino2, Hiroyuki Nakano3, Amos Ori4, and Misao Sasaki3
1Albert-Einstein-Institut, Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, D-14476 Golm, Germany
2Theoretical Astrophysics, California Institute of Technology, Pasadena, California 91125
3Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
4Department of Physics, Technion–Israel Institute of Technology, Haifa 32000, Israel
Received 1 November 2001; published 19 February 2002
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 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.
©2002 The American Physical Society
URL: http://link.aps.org/abstract/PRL/v88/e091101
DOI: 10.1103/PhysRevLett.88.091101
PACS: 04.70.Bw, 04.25.Nx
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