Explicit solution of the linearized Einstein equations in TT gauge for all multipoles
General Relativity and Quantum Cosmology
2009-01-30 v3
Abstract
We write out the explicit form of the metric for a linearized gravitational wave in the transverse-traceless gauge for any multipole, thus generalizing the well-known quadrupole solution of Teukolsky. The solution is derived using the generalized Regge-Wheeler-Zerilli formalism developed by Sarbach and Tiglio.
Cite
@article{arxiv.0809.1761,
title = {Explicit solution of the linearized Einstein equations in TT gauge for all multipoles},
author = {Oliver Rinne},
journal= {arXiv preprint arXiv:0809.1761},
year = {2009}
}
Comments
9 pages. Minor corrections, updated references. Final version to appear in Class. Quantum Grav