Effective temperatures and radiation spectra for a higher-dimensional Schwarzschild–de Sitter black hole

P. Kanti and T. Pappas
Phys. Rev. D 96, 024038 – Published 24 July 2017

Abstract

The absence of a true thermodynamical equilibrium for an observer located in the causal area of a Schwarzschild–de Sitter spacetime has repeatedly raised the question of the correct definition of its temperature. In this work, we consider five different temperatures for a higher-dimensional Schwarzschild–de Sitter black hole: the bare T0, the normalized TBH, and three effective ones given in terms of both the black-hole and cosmological horizon temperatures. We find that these five temperatures exhibit similarities but also significant differences in their behavior as the number of extra dimensions and the value of the cosmological constant are varied. We then investigate their effect on the energy emission spectra of Hawking radiation. We demonstrate that the radiation spectra for the normalized temperature TBH—proposed by Bousso and Hawking over twenty years ago—leads to the dominant emission curve, while the other temperatures either support a significant emission rate only in a specific Λ regime or have their emission rates globally suppressed. Finally, we compute the bulk-over-brane emissivity ratio and show that the use of different temperatures may lead to different conclusions regarding the brane or bulk dominance.

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  • Received 2 June 2017

DOI:https://doi.org/10.1103/PhysRevD.96.024038

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

P. Kanti and T. Pappas

  • Division of Theoretical Physics, Department of Physics, University of Ioannina, Ioannina GR-45110, Greece

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Issue

Vol. 96, Iss. 2 — 15 July 2017

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