Eur. Phys. J. C (2011) 71: 1823
https://doi.org/10.1140/epjc/s10052-011-1823-y

Regular Article - Theoretical Physics

Black-hole solutions in F(R) gravity with conformal anomaly

¹ Physics Department, College of Sciences, Yasouj University, Yasouj, 75914, Iran
² Department of Physics, Faculty of Sciences, Tarbiat Moa’llem University, Tehran, Iran

^* e-mail: hendi@mail.yu.ac.ir

Received: 2 October 2011
Revised: 17 November 2011
Published online: 3 December 2011

Abstract

In this paper, we consider F(R)=R+f(R) theory instead of Einstein gravity with conformal anomaly and look for its analytical solutions. Depending on the free parameters, one may obtain both uncharged and charged solutions for some classes of F(R) models. Calculation of Kretschmann scalar shows that there is a singularity located at r=0. The geometry of uncharged (charged) solution corresponds to the Schwarzschild (Reissner–Nordström) singularity. Further, we discuss the viability of our models in detail. We show that these models can be stable, depending on their parameters and in different epochs of the universe.