ON THE DUALITY OF SCHWARZSCHILD-DE SITTER SPACETIME AND MOVING MIRROR
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Date
2022
Authors
Fernandez-Silvestre, Diego
Foo, Joshua
Good, Michael R.R.
Journal Title
Journal ISSN
Volume Title
Publisher
Classical and Quantum Gravity
Abstract
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 Einstein’s equations with spherical symmetry and the de Sitter metric is the most simple solution
of Einstein’s 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 (ABC) 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
Description
Keywords
Type of access: Open Access, QFT in curved spacetime, black holes, cosmological horizons, moving mirrors
Citation
Fernández-Silvestre, D., Foo, J., & Good, M. R. R. (2022). On the duality of Schwarzschild–de Sitter spacetime and moving mirror. Classical and Quantum Gravity, 39(5), 055006. https://doi.org/10.1088/1361-6382/ac4b03