Explicit solution of the linearized Einstein equations in TT gauge for all multipoles
arXiv:0809.1761 · doi:10.1088/0264-9381/26/4/048003
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.
9 pages. Minor corrections, updated references. Final version to appear in Class. Quantum Grav
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