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

UR - http://www.scopus.com/inward/citedby.url?scp=84893590096&partnerID=8YFLogxK

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 -