TY - GEN
T1 - Derivation of gravitational self-force
AU - Gralla, Samuel E.
AU - Wald, Robert M.
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84893590096&partnerID=8YFLogxK
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U2 - 10.1007/978-90-481-3015-3_9
DO - 10.1007/978-90-481-3015-3_9
M3 - Conference contribution
AN - SCOPUS:84893590096
SN - 9789048130146
T3 - Mass and Motion in General Relativity
SP - 263
EP - 270
BT - Mass and Motion in General Relativity
PB - Kluwer Academic Publishers
T2 - School on Mass and Motion in General Relativity
Y2 - 23 June 2008 through 25 June 2008
ER -