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

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arxiv 0809.1761 v3 pith:U4HVI6SM submitted 2008-09-10 gr-qc

classification gr-qc
keywords solutionexplicitgaugelinearizedderiveddevelopedeinsteinequations
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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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  1. Comparing twist-free axisymmetric gravitational waves near the black hole threshold

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Independent codes (bamps, prague, sphGR) agree on near-threshold vacuum wave collapse, confirming family-dependent scaling and quasi-universal strong-field features.

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