Dolan, S.R. orcid.org/0000-0002-4672-6523, Kavanagh, C. and Wardell, B. (2022) Gravitational perturbations of rotating black holes in Lorenz gauge. Physical Review Letters, 128 (15). 151101. ISSN 0031-9007
Abstract
Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of gauge 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 linearized vacuum field equations on Kerr-Newman-Unti-Tamburino spacetimes in terms of homogeneous solutions to the spin-2, spin-1, and spin-0 Teukolsky equations. We also derive Lorenz-gauge completion pieces representing mass and angular momentum perturbations of Kerr spacetime.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 American Physical Society. This is an author-produced version of a paper subsequently published in Physical Review Letters. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number EUROPEAN COMMISSION - HORIZON 2020 777740 SCIENCE AND TECHNOLOGY FACILITIES COUNCIL ST/T001038/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 05 May 2022 13:22 |
Last Modified: | 07 May 2022 04:02 |
Status: | Published |
Publisher: | American Physical Society (APS) |
Refereed: | Yes |
Identification Number: | 10.1103/physrevlett.128.151101 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:186500 |