Constant curvature f(R) gravity minimally coupled with Yang-Mills field
Abstract
We consider the particular class of f(R) gravities minimally coupled with Yang - Mills (YM) field in which the Ricci scalar =R_{0}= constant in all dimensions d\geq4. Even in this restricted class the spacetime has unlimited scopes determined by an equation of state of the form P_{eff}={\omega}{\rho}. Depending on the distance from the origin (or horizon of a black hole) the state function {\omega}(r) takes different values. It is observed that {\omega}\rightarrow(1/3) (the ultra relativistic case in 4 - dimensions) and {\omega}\rightarrow-1 (the cosmological constant) are the limiting values of our state function {\omega}(r) in a spacetime centered by a black hole. This suggests that having a constant {\omega} throughout spacetime around a charged black hole in f(R) gravity with constant scalar curvature is a myth.
Keywords
Cite
@article{arxiv.1109.3655,
title = {Constant curvature f(R) gravity minimally coupled with Yang-Mills field},
author = {S. Habib Mazharimousavi and M. Halilsoy and T. Tahamtan},
journal= {arXiv preprint arXiv:1109.3655},
year = {2012}
}
Comments
12 pages 2 figures, Some references and 2 figures are added with minor changes. Final version for publication in European Physical Journal C