Reissner-Nordstr\"om-AdS black hole in the GEMS approach
Yong-Wan Kim, Young-Jai Park, and Kwang-Sup Soh
TL;DR
This paper constructs a higher-dimensional flat embedding of the Reissner-Nordström-AdS black hole spacetime, unifying various related geometries through parameter limits within the GEMS framework.
Contribution
It provides a (5+2)-dimensional global flat embedding of the (3+1)-dimensional RN-AdS spacetime, including multiple limiting cases, advancing the understanding of black hole geometries in the GEMS approach.
Findings
Derived a (5+2)-dimensional global flat embedding for RN-AdS spacetime.
Unified various black hole geometries through parameter limits in the GEMS framework.
Extended the GEMS approach to include charged AdS black holes.
Abstract
We obtain a (5+2)-dimensional global flat embedding of the (3+1)-dimensional curved RN-AdS space. Our results include the various limiting cases of global embedding Minkowski space (GEMS) geometries of the RN, Schwarzschild-AdS in (5+2)-dimensions, Schwarzschild in (5+1)-dimensions, purely charged space, and universal covering space of AdS in (4+1)-dimensions, through the successive truncation procedure of parameters in the original curved space.
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