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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.; Mart�n-Mart�nez, Eduardo

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


Authors

Keith K. Ng

Lee Hodgkinson

JORMA LOUKO JORMA.LOUKO@NOTTINGHAM.AC.UK
Professor of Mathematical Physics

Robert B. Mann

Eduardo Mart�n-Mart�nez



Abstract

© 2014 American Physical Society. 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.

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), Article 064003. https://doi.org/10.1103/PhysRevD.90.064003

Journal Article Type Article
Acceptance Date Aug 1, 2014
Online Publication Date Sep 3, 2014
Publication Date Sep 3, 2014
Deposit Date Oct 18, 2018
Publicly Available Date Oct 18, 2018
Journal Physical Review D - Particles, Fields, Gravitation and Cosmology
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 90
Issue 6
Article Number 064003
DOI https://doi.org/10.1103/PhysRevD.90.064003
Public URL https://nottingham-repository.worktribe.com/output/1174649
Publisher URL https://journals.aps.org/prd/abstract/10.1103/PhysRevD.90.064003

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