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arXiv · 1001.3922

Uniform density static fluid sphere in Einstein-Gauss-Bonnet gravity and its universality

N. Dadhich·A. Molina·A. Khugaev
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Abstract

In Newtonian theory, gravity inside a constant density static sphere is independent of spacetime dimension. Interestingly this general result is also carried over to Einsteinian as well as higher order Einstein-Gauss-Bonnet (Lovelock) gravity notwithstanding their nonlinearity. We prove that the necessary and sufficient condition for universality of Schwarzschild interior solution describing a uniform density sphere for all $n\geq4$ is that its density is constant.

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N. Dadhich, A. Molina, A. Khugaev. 2010-05-24. Uniform density static fluid sphere in Einstein-Gauss-Bonnet gravity and its universality. https://doi.org/10.1103/physrevd.81.104026

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