Elementary development of the gravitational self-force TeX Export

@article{citeulike:5695602, abstract = {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.}, archivePrefix = {arXiv}, author = {Detweiler, Steven}, citeulike-article-id = {5695602}, citeulike-linkout-0 = {http://arxiv.org/abs/0908.4363}, citeulike-linkout-1 = {http://arxiv.org/pdf/0908.4363}, day = {31}, eprint = {0908.4363}, keywords = {backreaction, gr-qc, self-interaction}, month = {Aug}, posted-at = {2009-09-01 08:11:55}, priority = {2}, title = {Elementary development of the gravitational self-force}, url = {http://arxiv.org/abs/0908.4363}, year = {2009} }

TY - JOUR ID - citeulike:5695602 L3 - citeulike-article-id:5695602 N2 - 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. TI - Elementary development of the gravitational self-force KW - backreaction KW - gr-qc KW - self-interaction AU - Detweiler, Steven PY - 2009/Aug/31/ UR - http://arxiv.org/abs/0908.4363 ER -