Characterization of the Lovelock gravity by Bianchi derivative
General Relativity and Quantum Cosmology
2011-04-07 v6 Astrophysics
High Energy Physics - Theory
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.
Cite
@article{arxiv.0802.3034,
title = {Characterization of the Lovelock gravity by Bianchi derivative},
author = {Naresh Dadhich},
journal= {arXiv preprint arXiv:0802.3034},
year = {2011}
}
Comments
Agrees with the published version