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, 42 (20). 205007. 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). Original Content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence (https://creativecommons.org/licenses/by/4.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
| 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 |
| Date Deposited: | 26 Sep 2025 09:08 |
| Last Modified: | 22 Oct 2025 10:30 |
| Status: | Published |
| 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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