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Unruh-DeWitt detector response along static and circular-geodesic trajectories for Schwarzschild–anti-de Sitter black holes

Ng, Keith K.; Hodgkinson, Lee; Louko, Jorma; Mann, Robert B.; Martín-Martínez, Eduardo

Authors

Keith K. Ng

Lee Hodgkinson

Robert B. Mann

Eduardo Martín-Martínez



Abstract

We present novel methods to numerically address the problem of characterizing the response of particle detectors in curved spacetimes. These methods allow for the integration of the Wightman function, at least in principle, in rather general backgrounds. In particular we will use this tool to further understand the nature of conformal massless scalar Hawking radiation from a Schwarzschild black hole in anti–de Sitter space. We do that by studying an Unruh-DeWitt detector at rest above the horizon and in circular-geodesic orbit. The method allows us to see that the response rate shows peaks at certain characteristic frequencies, which correspond to the quasinormal modes of the spacetime. It is in principle possible to apply these techniques to more complicated and interesting physical scenarios, e.g., geodesic infall or multiple detector entanglement evolution, or the study of the behavior of quantum correlations in spacetimes with black hole horizons.

Journal Article Type Article
Publication Date Sep 15, 2014
Journal Physical Review D
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 90
Issue 6
Article Number 064003
APA6 Citation Ng, K. K., Hodgkinson, L., Louko, J., Mann, R. B., & Martín-Martínez, E. (2014). Unruh-DeWitt detector response along static and circular-geodesic trajectories for Schwarzschild–anti-de Sitter black holes. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90(6), doi:10.1103/physrevd.90.064003. ISSN 1550-7998
DOI https://doi.org/10.1103/physrevd.90.064003
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.064003

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