MG12 - Talk detail
 

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Abstract

On Gravitational Dynamics

We prove the theorem: The second order quasi-linear differential operator as a second rank divergence free tensor in the equation of motion for gravitation could always be derived from the trace of the Bianchi derivative of the fourth rank tensor, which is a homogeneous polynomial in curvatures. The existence of such a tensor for each term in the polynomial Lagrangian is a new characterization of the Lovelock gravity.

Black hole from pure curvature

By a Kaluza-Klein split of six dimensional spacetime into the usual four manifold and a two space of constant curvature we generate a black hole as a vacuum solution of Einstein-Gauss-Bonnet gravity. This is an example of pure curvature as it can have no matter support in four spacetime. It arises from the coupling of Gauss-Bonnet parameter, constant curvature of extra dimensional two space and $\Lambda$. The latter two are required to be negative.

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