f(Ricci) gravity
General Relativity and Quantum Cosmology
2018-12-19 v3 High Energy Physics - Theory
Abstract
f(Ricci) gravity is a special kind of higher curvature gravity whose bulk Lagrangian density is the trace of a matrix-valued function of the Ricci tensor. It is shown that, under some mild constraints, f(Ricci) gravity admits Einstein manifolds as exact vacuum solutions, and can be ghost free around maximally symmetric Einstein vacua. It is also shown that the entropy for spherically symmetric black holes in f(Ricci) gravity calculated via Wald's method and the boundary Noether charge approach proposed by Majhi and Padmanabhan are in good agreement.
Cite
@article{arxiv.1812.01854,
title = {f(Ricci) gravity},
author = {Chuanyi Wang and Liu Zhao},
journal= {arXiv preprint arXiv:1812.01854},
year = {2018}
}
Comments
12 pages. v2: important corrections and new references. v3: removing a redundant term in eq. (8) and more references