Low multipole contributions to the gravitational self-force

Details Low multipole contributions to the gravitational self-force Low multipole contributions to the gravitational self-force

2003-12-01

arxiv.org/abs/gr-qc/0312010v1

Phys.Rev.D69:084019,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, revtex4, 3 figures, 1 table

Scientific paper

10.1103/PhysRevD.69.084019

We calculate the unregularized monopole and dipole contributions to the self-force acting on a particle of small mass in a circular orbit around a Schwarzschild black hole. From a self-force point of view, these non-radiating modes are as important as the radiating modes with l greater than 2. In fact, we demonstrate how the dipole self-force contributes to the dynamics even at the Newtonian level. The self-acceleration of a particle is an inherently gauge-dependent concept, but the Lorenz gauge is often preferred because of its hyperbolic wave operator. Our results are in the Lorenz gauge and are also obtained in closed form, except for the even-parity dipole case where we formulate and implement a numerical approach.

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