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Renormalized vacuum polarization on rotating warped AdS3 black holes

Ferreira, Hugo R.C.; Louko, Jorma

Authors

Hugo R.C. Ferreira



Abstract

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.

Journal Article Type Article
Publication Date Jan 15, 2015
Journal Physical Review D
Print ISSN 2470-0010
Electronic ISSN 2470-0029
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 91
Issue 2
Article Number 024038
APA6 Citation Ferreira, H. R., & Louko, J. (2015). Renormalized vacuum polarization on rotating warped AdS3 black holes. Physical Review D, 91(2), https://doi.org/10.1103/PhysRevD.91.024038
DOI https://doi.org/10.1103/PhysRevD.91.024038
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.91.024038
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Renormalized vacuum polarization on rotating warped AdS3 black holes, Hugo R.C. Ferreira and Jorma Louko, Physical Review D, 91, 024038 (2015)

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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