Characterization of the Lovelock gravity by Bianchi derivative

Details Characterization of the Lovelock gravity by Bianchi derivative Characterization of the Lovelock gravity by Bianchi derivative

2008-02-21

arxiv.org/abs/0802.3034v6

Pramana 74:875-882,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Agrees with the published version

Scientific paper

10.1007/s12043-010-0080-1

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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