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

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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 ≥ 4 is that its density is constant.

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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