Elementary development of the gravitational self-force

Details Elementary development of the gravitational self-force Elementary development of the gravitational self-force

2009-08-31

arxiv.org/abs/0908.4363v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, 4 figures, Lecture given at the "School on Mass" (Orleans, France, June 2008), uses Springer's "svmult.cls"

Scientific paper

The gravitational field of a particle of small mass $\mu$ moving through curved spacetime, with metric $g_{ab}$, is naturally and easily decomposed into two parts each of which satisfies the perturbed Einstein equations through $O(\mu)$. One part is an inhomogeneous field $h^S_{ab}$ which, near the particle, looks like the Coulomb $\mu/r$ field with tidal distortion from the local Riemann tensor. This singular field is defined in a neighborhood of the small particle and does not depend upon boundary conditions or upon the behavior of the source in either the past or the future. The other part is a homogeneous field $h^R_{ab}$. In a perturbative analysis, the motion of the particle is then best described as being a geodesic in the metric $g_{ab}+h^R_{ab}$. This geodesic motion includes all of the effects which might be called radiation reaction and conservative effects as well.

Affiliated with

Also associated with

No associations

Rating

Elementary development of the gravitational self-force does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Elementary development of the gravitational self-force, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elementary development of the gravitational self-force will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-219952