Hawking radiation as perceived by different observers: an analytic expression for the effective-temperature function

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Given a field vacuum state in a black hole spacetime, this state can be analysed in terms of how it is perceived (in terms of particle content) by different observers. This can be done by means of the effective-temperature function introduced by Barcelo et al (2011 Phys. Rev. D 83 041501). In Barbado et al (2011 Class. Quantum Grav. 28 125021), this function was analysed in a case-by-case basis for a number of interesting situations. In this work, we find a general analytic expression for the effective-temperature function which, apart from the vacuum state choice, depends on the position, the local velocity and the acceleration of the specific observer. We give a clear physical interpretation of the quantities appearing in the expression, and illustrate its potentiality with a few examples.
©IOP Publishing Ltd. The authors want to thank an anonymous referee for some useful comments and suggestions. Financial support was provided by the Spanish MICINN through the projects FIS2008-06078-C03-01, FIS2008-06078-C03-03, FIS2011-30145-C03-01 and FIS2011-30145-C03-02 (with FEDER contribution), and by the Junta de Andalucía through the project FQM219.
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[1] Carlos Barceló, Stefano Liberati, Sebastiano Sonego, and Matt Visser. Minimal conditions for the existence of a Hawking-like flux. Phys.Rev., D83:041501, 2011. [2] Luis C. Barbado, Carlos Barceló, and Luis J. Garay. Hawking radiation as perceived by different observers. Class.Quant.Grav., 28:125021, 2011. [3] S.W. Hawking. Particle Creation by Black Holes. Commun.Math.Phys., 43:199–220, 1975. [4] Carlos Barceló, Stefano Liberati, Sebastiano Sonego, and Matt Visser. Hawking-like radiation from evolving black holes and compact horizonless objects. JHEP, 1102:003, 2011. [5] N.D. Birrell and P.C.W. Davies. Quantum fields in curved space. Cambridge monographs on mathematical physics. Cambridge University Press, 1984. [6] Eric Greenwood and Dejan Stojkovic. Hawking radiation as seen by an infalling observer. JHEP, 0909:058, 2009. [7] Jorma Louko and Alejandro Satz. Transition rate of the Unruh-DeWitt detector in curved spacetime. Class.Quant.Grav., 25:055012, 2008. [8] David G. Boulware. Quantum Field Theory in Schwarzschild and Rindler Spaces. Phys.Rev., D11:1404, 1975. [9] W.G. Unruh. Notes on black hole evaporation. Phys.Rev., D14:870, 1976. [10] A. Fabbri and J. Navarro-Salas. Modeling black hole evaporation. 2005. [11] Luis C. Barbado, Carlos Barceló, Luis J. Garay, and Gil Jannes. The Trans-Planckian problema as a guiding principle. JHEP, 1111:112, 2011.