Universal features of gravity and higher dimensions

Details Universal features of gravity and higher dimensions Universal features of gravity and higher dimensions

2011-05-05

arxiv.org/abs/1105.0988v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, revtex, Plenary lecture in 13th Regional Conference on Mathematical Physics held on Oct. 23-31, 2010 at Antalaya, Tur

Scientific paper

We study some universal features of gravity in higher dimensions and by universal we mean a feature that remains true in all dimensions $\geq4$. They include: (a) the gravitational dynamics always follows from the Bianchi derivative of a homogeneous polynomial in Riemann curvature and it thereby characterizes the Lovelock polynomial action, (b) all the $\Lambda$-vacuum solutions of the Einstein-Lovelock as well as pure Lovelock equation have the same asymptotic limit agreeing with the $d$ dimensional Einstein solution and (c) gravity inside a uniform density sphere is independent of the spacetime dimension and it is always given by the Schwarzschild interior solution.

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