Colóquio: Thermodynamical Black Hole in f(R) theory (Profa. Cristine Nunes Ferreira - UFF)

We analyzed the thermodynamics of a black hole in a region that contains  a global monopole in the framework of a particular class of a f(R) gravity. Specifically, we studied  the case where the derivative of the f(R) in  function of the  curvature is  a power law function of the radial coordinate.  We  obtained explicit expressions for the local thermodynamic quantities of the black hole as a function of the event horizon,  the parameter describing the monopole and  the measurable corrections  due to the f(R) theory modifications of the General Relativity. We  also discussed the implications of the particular case of n=2, where we can be related the parameter of power law function with the positive cosmological constant, that in monopole presence is characterized by a non-trivial topology observed as a deficit solid angle