Derivation of gravitational self-force

Samuel E. Gralla, Robert M. Wald

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations


We analyze the issue of "particle motion" in general relativity in a systematic and rigorous way by considering a one-parameter family of metrics corresponding to having a body (or black hole) that is "scaled down" to 0 size and mass in an appropriate manner. We prove that the limiting worldline of such a one-parameter family must be a geodesic of the background metric and obtain the leading order perturbative corrections, which include gravitational self-force, spin force, and geodesic deviation effects. The status of the MiSaTaQuWa equation is explained as a candidate "self-consistent perturbative equation" associated with our rigorous perturbative result.

Original languageEnglish (US)
Title of host publicationMass and Motion in General Relativity
PublisherKluwer Academic Publishers
Number of pages8
ISBN (Print)9789048130146
StatePublished - 2011
Externally publishedYes
EventSchool on Mass and Motion in General Relativity - Orleans, France
Duration: Jun 23 2008Jun 25 2008

Publication series

NameMass and Motion in General Relativity


ConferenceSchool on Mass and Motion in General Relativity

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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