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  Gravitational perturbations of rotating black holes in Lorenz gauge

Dolan, S. R., Kavanagh, C., & Wardell, B. (2022). Gravitational perturbations of rotating black holes in Lorenz gauge. Physical Review Letters, 128(15): 151101.

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2108.06344.pdf (Preprint), 163KB
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 Creators:
Dolan, Sam R., Author
Kavanagh, Chris1, Author           
Wardell, Barry, Author
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1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations. However, for certain applications it is desirable to construct the full metric perturbation in the Lorenz gauge, in which the linearized Einstein field equations take a manifestly hyperbolic form. Here we obtain a set of Lorenz-gauge solutions to the vacuum field equations in terms of homogeneous solutions to the spin-2, spin-1 and spin-0 Teukolsky equations; and completion pieces that represent perturbations to the mass and angular momentum of the spacetime. The solutions are valid in vacuum Petrov type-D spacetimes that admit a conformal Killing-Yano tensor.

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 Dates: 2021-08-132022
 Publication Status: Published in print
 Pages: 5 pages, no figures
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 Identifiers: arXiv: 2108.06344
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 128 (15) Sequence Number: 151101 Start / End Page: - Identifier: -