Maximum Entropy Principle for Self-gravitating Perfect Fluid in Lovelock Gravity
Abstract
We consider a static self-gravitating system consisting of perfect fluid with isometries of an -dimensional maximally symmetric space in Lovelock gravity theory. A straightforward analysis of the time-time component of the equations of motion suggests a generalized mass function. Tolman-Oppenheimer-Volkoff like equation is obtained by using this mass function and gravitational equations. We investigate the maximum entropy principle in Lovelock gravity, and find that this Tolman-Oppenheimer-Volkoff equation can also be deduced from the so called "maximum entropy principle" which is originally customized for Einstein gravity theory. This investigation manifests a deep connection between gravity and thermodynamics in this generalized gravity theory.
Cite
@article{arxiv.1301.0895,
title = {Maximum Entropy Principle for Self-gravitating Perfect Fluid in Lovelock Gravity},
author = {Li-Ming Cao and Jianfei Xu and Zhe Zeng},
journal= {arXiv preprint arXiv:1301.0895},
year = {2013}
}
Comments
v1,revtex4, 9 pages, no figure; v2, two references added, typos corrected