Generalized second law at linear order for actions that are functions of Lovelock densities
General Relativity and Quantum Cosmology
2015-05-21 v3 High Energy Physics - Theory
Abstract
In this article we consider the second law of black holes (and other causal horizons) in theories where the gravitational action is an arbitrary function of the Lovelock densities. We show that there exists an entropy which increases locally, for linearized perturbations to regular Killing horizons. In addition to a classical increase theorem, we also prove a generalized second law for semiclassical, minimally-coupled matter fields.
Keywords
Cite
@article{arxiv.1306.1623,
title = {Generalized second law at linear order for actions that are functions of Lovelock densities},
author = {Sudipta Sarkar and Aron C. Wall},
journal= {arXiv preprint arXiv:1306.1623},
year = {2015}
}
Comments
19 pages, no figues, v2 references and minor comments added, v3 Ref. 4 & typos in Eq. 14, 27, 40 corrected