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Quantum aspects of black holes; thermodynamics.

In the context of $f (R)$ theories of gravity, we address the problem of finding a rotating charged black hole solution in the case of constant curvature. A new metric is obtained by solving the field equations and we show that its behaviour is typical of a rotating charged source. In addition, we analyse the thermodynamics of the new black hole. The results ensure that the thermodynamical properties in $f (R)$ gravities are qualitatively similar to those of standard General Relativity.

Alexis Larrañaga¹

1. National Astronomical Observatory, National University of Colombia, Bogotá, Colombia

Published

May 2012

Manuscript received

20 October 2011

Manuscript revised

16 December 2011

Accepted

11 January 2012