Local free-fall temperature of a RN-AdS black hole

Abstract

We use the global embedding Minkowski space (GEMS) geometries of a (3+1)-dimensional curved Reissner-Nordström(RN)-AdS black hole spacetime into a (5+2)-dimensional flat spacetime to define a proper local temperature, which remains finite at the event horizon, for freely falling observers outside a static black hole. Our extended results include the known limiting cases of the RN, Schwarzschild--AdS, and Schwarzschild black holes.

18 pages, 11 figures, version to appear in Int. J. Mod. Phys. A

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• Local free-fall Temperature of modified Schwarzschild black hole in rainbow spacetime
• Hawking-like radiation and the density matrix for an infalling observer during gravitational collapse
• Mapping Hawking temperature in the spinning constant curvature black hole spaces into Unruh temperature
• GEMS embeddings of Schwarzschild and RN black holes in Painlevé-Gullstrand spacetimes