Wardell, B. orcid.org/0000-0001-6176-9006, Kavanagh, C. orcid.org/0000-0002-2874-9780 and Dolan, S.R. orcid.org/0000-0002-4672-6523 (2025) Sourced metric perturbations of Kerr spacetime in Lorenz gauge. Classical and Quantum Gravity. ISSN: 0264-9381
Abstract
We derive a formalism for solving the Lorenz gauge equations for metric perturbations of Kerr spacetime sourced by an arbitrary stress-energy tensor. The metric perturbation is obtained as a sum of differential operators acting on a set of six scalars, with two of spin-weight ±2, two of spin-weight ±1, and two of spin-weight 0. We derive the sourced Teukolsky equations satisfied by these scalars, with the sources given in terms of differential operators acting on the stress-energy tensor. The method can be used to obtain both linear and higher-order nonlinear metric perturbations, and it fully determines the metric perturbation up to a time integral, omitting only static contributions which must be handled separately.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2025 The Author(s). Everyone is permitted to use all or part of the original content in this article, provided that they adhere to all the terms of the licence https://creativecommons.org/licences/by/4.0 |
Keywords: | Mathematical Physics; Particle and High Energy Physics; Mathematical Sciences; Physical Sciences |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
Funding Information: | Funder Grant number SCIENCE AND TECHNOLOGY FACILITIES COUNCIL ST/T001038/1 SCIENCE AND TECHNOLOGY FACILITIES COUNCIL ST/X000621/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 26 Sep 2025 09:08 |
Last Modified: | 26 Sep 2025 09:08 |
Status: | Published online |
Publisher: | IOP Publishing |
Refereed: | Yes |
Identification Number: | 10.1088/1361-6382/ae0918 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:232151 |
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