Arbitrary Dimensional Schwarzschild-FRW Black Holes
Chang Jun Gao
TL;DR
This paper derives and generalizes higher-dimensional Schwarzschild black hole solutions within Friedmann-Robertson-Walker universes, revealing potential links between the cosmological constant and extra spatial dimensions.
Contribution
It presents new higher-dimensional Schwarzschild-FRW black hole metrics and extends existing solutions to include additional extra dimensions.
Findings
Higher-dimensional Schwarzschild-de Sitter metrics are formulated.
The cosmological constant may originate from extra dimensions.
Generalized solutions encompass more complex higher-dimensional spacetimes.
Abstract
The metric of arbitrary dimensional Schwarzschild black hole in the background of Friedman-Robertson-Walker universe is presented in the cosmic coordinates system. In particular, the arbitrary dimensional Schwarzschild-de Sitter metric is rewritten in the Schwarzschild coordinates system and basing on which the even more generalized higher dimensional Schwarzschild-de Sitter metric with another extra dimensions is found. The generalized solution shows that the cosmological constant may roots in the extra dimensions of space.
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