Renormalized vacuum polarization on rotating warped AdS3 black holes

Ferreira, Hugo R.C.; Louko, Jorma

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.

Citation

Ferreira, H. R., & Louko, J. (2015). Renormalized vacuum polarization on rotating warped AdS3 black holes. Physical Review D, 91(2), Article 024038. https://doi.org/10.1103/PhysRevD.91.024038

• Journal Article Type: Article
• Acceptance Date: Jan 1, 2015
• Online Publication Date: Jan 27, 2015
• Publication Date: Jan 15, 2015
• Deposit Date: Oct 10, 2017
• Publicly Available Date: Oct 10, 2017
• 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
• DOI: https://doi.org/10.1103/PhysRevD.91.024038
• Public URL: https://nottingham-repository.worktribe.com/output/743208
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.91.024038
• Additional Information: Renormalized vacuum polarization on rotating warped AdS3 black holes, Hugo R.C. Ferreira and Jorma Louko, Physical Review D, 91, 024038 (2015)