Deriving the gravitational field equation and horizon entropy for arbitrary diffeomorphism-invariant gravity from spacetime solid
General Relativity and Quantum Cosmology
2010-04-06 v3
Abstract
Motivated by the analogy between the spacetime and the solid with inhomogeneous elasticity modulus, we present an alternative method to obtain the field equation of any diffeomorphism-invariant gravity, by extremizing the constructed entropy function of the displacement vector field of spacetime solid. In general stationary spacetimes, we show that the Wald entropy of horizon arises from the on-shell entropy function of spacetime solid.
Cite
@article{arxiv.0909.1367,
title = {Deriving the gravitational field equation and horizon entropy for arbitrary diffeomorphism-invariant gravity from spacetime solid},
author = {Shao-Feng Wu and Bin Wang and Xian-Hui Ge and Guo-Hong Yang},
journal= {arXiv preprint arXiv:0909.1367},
year = {2010}
}
Comments
19 pages, no figure, to be published in Phys. Rev. D