Renormalized vacuum polarization on rotating warped AdS3 black holes
We compute the renormalized vacuum polarization of a massive scalar field in the Hartle-Hawking state on (2+1)-dimensional rotating, spacelike stretched black hole solutions to topologically massive gravity, surrounded by a Dirichlet mirror that makes the state well defined. The Feynman propagator i...
| Main Authors: | , |
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| Format: | Article |
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American Physical Society
2015
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| Online Access: | https://eprints.nottingham.ac.uk/47123/ |
| _version_ | 1848797471978815488 |
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| author | Ferreira, Hugo R.C. Louko, Jorma |
| author_facet | Ferreira, Hugo R.C. Louko, Jorma |
| author_sort | Ferreira, Hugo R.C. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We compute the renormalized vacuum polarization of a massive scalar field in the Hartle-Hawking state on (2+1)-dimensional rotating, spacelike stretched black hole solutions to topologically massive gravity, surrounded by a Dirichlet mirror that makes the state well defined. The Feynman propagator is written as a mode sum on the complex Riemannian section of the spacetime, and a Hadamard renormalization procedure is implemented by matching to a mode sum on the complex Riemannian section of a rotating Minkowski spacetime. No analytic continuation in the angular momentum parameter is invoked. Selected numerical results are given, demonstrating the numerical efficacy of the method. We anticipate that this method can be extended to wider classes of rotating black hole spacetimes, in particular to the Kerr spacetime in four dimensions. |
| first_indexed | 2025-11-14T20:04:25Z |
| format | Article |
| id | nottingham-47123 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:04:25Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-471232020-05-04T17:00:52Z https://eprints.nottingham.ac.uk/47123/ Renormalized vacuum polarization on rotating warped AdS3 black holes Ferreira, Hugo R.C. Louko, Jorma We compute the renormalized vacuum polarization of a massive scalar field in the Hartle-Hawking state on (2+1)-dimensional rotating, spacelike stretched black hole solutions to topologically massive gravity, surrounded by a Dirichlet mirror that makes the state well defined. The Feynman propagator is written as a mode sum on the complex Riemannian section of the spacetime, and a Hadamard renormalization procedure is implemented by matching to a mode sum on the complex Riemannian section of a rotating Minkowski spacetime. No analytic continuation in the angular momentum parameter is invoked. Selected numerical results are given, demonstrating the numerical efficacy of the method. We anticipate that this method can be extended to wider classes of rotating black hole spacetimes, in particular to the Kerr spacetime in four dimensions. American Physical Society 2015-01-15 Article PeerReviewed Ferreira, Hugo R.C. and Louko, Jorma (2015) Renormalized vacuum polarization on rotating warped AdS3 black holes. Physical Review D, 91 (2). 024038/1-024038/16. ISSN 2470-0029 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.91.024038 doi:10.1103/PhysRevD.91.024038 doi:10.1103/PhysRevD.91.024038 |
| spellingShingle | Ferreira, Hugo R.C. Louko, Jorma Renormalized vacuum polarization on rotating warped AdS3 black holes |
| title | Renormalized vacuum polarization on rotating warped AdS3 black holes |
| title_full | Renormalized vacuum polarization on rotating warped AdS3 black holes |
| title_fullStr | Renormalized vacuum polarization on rotating warped AdS3 black holes |
| title_full_unstemmed | Renormalized vacuum polarization on rotating warped AdS3 black holes |
| title_short | Renormalized vacuum polarization on rotating warped AdS3 black holes |
| title_sort | renormalized vacuum polarization on rotating warped ads3 black holes |
| url | https://eprints.nottingham.ac.uk/47123/ https://eprints.nottingham.ac.uk/47123/ https://eprints.nottingham.ac.uk/47123/ |