Higher Dimensional Reissner-Nordstr\"om-FRW metric
Abstract
By inspecting some known solutions to Einstein equations, we present the metric of higher dimensional Reissner-Nordstrom 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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