Existence of reissner - nordström type black hole in f (R) gravity

ABSTRACT: We investigate the existence of Reissner-Nordström (RN) type black holes in f (R) gravity. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric (SSS) black holes available in f (R) gravity by applying the ”near horizon test” method. In this method we expand all the unknown functions about the horizon and we obtain zeroth and first terms of these fuctions. We also study the Extremal RN type black hole in this framework. In this thesis we show that it seems impossible to have a closed form of f (R) for these types of black holes. Since, finding the total energy is rather difficult we derive the Misner-Sharp (MS) energy in f (R) gravity by using the properties of black hole thermodynamics. Keywords: Reissner-Nordström; f (R) Gravity; Black Hole Thermodynamics. …………………………………………………………………………………………………………………………………………………………………………………………………………