2011/05/05 by Naresh Dadhich, Dadhich, Naresh
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1105.0988
7 pages, revtex, Plenary lecture in 13th Regional Conference on Mathematical Physics held on Oct. 23-31, 2010 at Antalaya, Turkey, To appear in Proceedings of the Conference
arxiv created 2011/05/05 · arxiv updated 2011/05/06
We study some universal features of gravity in higher dimensions and by universal we mean a feature that remains true in all dimensions ≥4. 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 Λ-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.