Higher Dimensional Reissner-Nordstr\"om-FRW metric
Chang Jun Gao, Shuang Nan Zhang
TL;DR
This paper derives a higher-dimensional Reissner-Nordström black hole metric within a FRW universe, showing how the black hole's scale varies with cosmic expansion or contraction, verified through perfect fluid solutions.
Contribution
It introduces a new higher-dimensional Reissner-Nordström black hole solution embedded in a FRW universe and analyzes its horizon behavior during cosmic evolution.
Findings
Black hole scale increases with universe expansion
Black hole scale decreases with universe contraction
Solution verified with perfect fluid model
Abstract
By inspecting some known solutions to Einstein equations, we present the metric of higher dimensional Reissner-Nordstrm black hole in the background of Friedman-Robertson-Walker universe. Then we verify the solution with a perfect fluid. The discussion of the event horizon of the black hole reveals that the scale of the black hole would increase with the expansion of the universe and decrease with the contraction of the universe.
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