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Introduction to Gravitational Self-Force

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arxiv 0907.0412 v1 pith:TWNIZUK7 submitted 2009-07-02 gr-qc

classification gr-qc
keywords motionself-forceablecorrectionsdifficultiesgeneralgeodesicgravitational
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The motion of sufficiently small body in general relativity should be accurately described by a geodesic. However, there should be ``gravitational self-force'' corrections to geodesic motion, analogous to the ``radiation reaction forces'' that occur in electrodynamics. It is of considerable importance to be able to calculate these self-force corrections in order to be able to determine such effects as inspiral motion in the extreme mass ratio limit. However, severe difficulties arise if one attempts to consider point particles in the context of general relativity. This article describes these difficulties and how they have been dealt with.

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Cited by 2 Pith papers

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  1. Gravitating Tubes Beyond World Line Paradigm In General Relativity

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    The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle act...

  2. Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.

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