Uniform density static fluid sphere in Einstein-Gauss-Bonnet gravity and its universality
Naresh DadhichInter-University Centre for Astronomy & Astrophysics, Post Bag 4 Pune 411 007, IndiaA. MolinaInter-University Centre for Astronomy & Astrophysics, Post Bag 4 Pune 411 007, IndiaA. V. KhugaevInter-University Centre for Astronomy & Astrophysics, Post Bag 4 Pune 411 007, India
ABI
Аннотация
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 the Schwarzschild interior solution describing a uniform density sphere for all $n\ensuremath{\ge}4$ is that its density is constant.
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