Explicit solution of the linearized Einstein equations in TT gauge for all multipoles

Details Explicit solution of the linearized Einstein equations in TT gauge for all multipoles Explicit solution of the linearized Einstein equations in TT gauge for all multipoles

2008-09-10

arxiv.org/abs/0809.1761v3

Class.Quant.Grav.26:048003,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages. Minor corrections, updated references. Final version to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/26/4/048003

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.

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