Explicit solution of the linearized Einstein equations in TT gauge for all multipoles
Abstract
Description
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
9 pages. Minor corrections, updated references. Final version to appear in Class. Quantum Grav