On the duality of Schwarzschild-de Sitter spacetime and moving mirror
Fernandez-Silvestre D. Foo J. Good M.R.R.
3 March 2022IOP Publishing Ltd
Classical and Quantum Gravity
2022#39Issue 5
The Schwarzschild-de Sitter (SdS) metric is the simplest spacetime solution in general relativity with both a black hole event horizon and a cosmological event horizon. Since the Schwarzschild metric is the most simple solution of Einsteins equations with spherical symmetry and the de Sitter metric is the most simple solution of Einsteins equations with a positive cosmological constant, the combination in the SdS metric defines an appropriate background geometry for semi-classical investigation of Hawking radiation with respect to past and future horizons. Generally, the black hole temperature is larger than that of the cosmological horizon, so there is heat flow from the smaller black hole horizon to the larger cosmological horizon, despite questions concerning the definition of the relative temperature of the black hole without a measurement by an observer sitting in an asymptotically flat spacetime. Here we investigate the accelerating boundary correspondence of the radiation in SdS spacetime without such a problem. We have solved for the boundary dynamics, energy flux and asymptotic particle spectrum. The distribution of particles is globally non-thermal while asymptotically the radiation reaches equilibrium.
black holes , cosmological horizons , moving mirrors , QFT in curved spacetime
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Departamento de Fisica Teorica and IFIC, Universidad de Valencia-CSIC, C. Dr Moliner 50, Burjassot, 46100, Spain
Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, St. Lucia, 4072, QLD, Australia
Department of Physics and Energetic Cosmos Laboratory, Nazarbayev University, Kabanbay Batyr Ave 53, Nur-Sultan, 010000, Kazakhstan
Departamento de Fisica Teorica and IFIC
Centre for Quantum Computation and Communication Technology
Department of Physics and Energetic Cosmos Laboratory
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