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Low multipole contributions to the gravitational self-force

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arxiv gr-qc/0312010 v1 pith:FZCJFVGL submitted 2003-12-01 gr-qc

Low multipole contributions to the gravitational self-force

Steve Detweiler , Eric Poisson This is my paper
classification gr-qc
keywords self-forcedipolecontributionsgaugelorenzmodesparticleacting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

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