Abstract
We examine an Unruh-DeWitt particle detector coupled to a scalar field in three-dimensional curved spacetime, within first-order perturbation theory. We first obtain a causal and manifestly regular expression for the instantaneous transition rate in an arbitrary Hadamard state. We then specialise to the Bañados-Teitelboim-Zanelli black hole and to a massless conformally coupled field in the Hartle-Hawking vacuum. A co-rotating detector responds thermally in the expected local Hawking temperature, while a freely-falling detector shows no evidence of thermality in regimes that we are able to probe, not even far from the horizon. The boundary condition at the asymptotically anti-de Sitter infinity has a significant effect on the transition rate.
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Acknowledgments
J. Louko thanks the organisers of the “Bits, Branes, Black Holes” programme for hospitality at the Kavli Institute for Theoretical Physics, University of California at Santa Barbara. This research was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915 and by the Science and Technology Facilities Council.
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Hodgkinson, L., Louko, J. (2014). Unruh-DeWitt Detector on the BTZ Black Hole. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_73
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