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arXiv · 0802.3034

Characterization of the Lovelock gravity by Bianchi derivative

Naresh Dadhich
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Abstract

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.

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Naresh Dadhich. 2008-02-21. Characterization of the Lovelock gravity by Bianchi derivative. https://doi.org/10.1007/s12043-010-0080-1

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