Renormalized vacuum polarization on rotating warped AdS3 black holes

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

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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.

Item Type: Article
Additional Information: Renormalized vacuum polarization on rotating warped AdS3 black holes, Hugo R.C. Ferreira and Jorma Louko, Physical Review D, 91, 024038 (2015)
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevD.91.024038
Depositing User: Eprints, Support
Date Deposited: 10 Oct 2017 10:50
Last Modified: 13 Oct 2017 17:27
URI: http://eprints.nottingham.ac.uk/id/eprint/47123

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