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

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

2010-01-22

arxiv.org/abs/1001.3922v5

Phys.Rev.D81:104026,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, title and abstract modified, one author added, considerable improvement in clarity and precision, one reference added

Scientific paper

10.1103/PhysRevD.81.104026

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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