Bulg. J. Phys. vol.37 no.1 (2010), pp. 10-15

Thermodynamics of the (2+1)-dimensional Black Hole with non linear Electrodynamics and without Cosmological Constant from the Generalized Uncertainty Principle

A. Larrañaga1,2
1Universidad Nacional de Colombia. Observatorio Astronomico Nacional (OAN)
2Universidad Distrital Francisco Jose de Caldas. Facultad de Ingenieria, Proyecto Curricular de Ingenieria Electronica
Abstract. In this paper, we study the thermodynamical properties of the (2+1)-dimensional black hole with a non-linear electrodynamics and without cosmological constant using the Generalized Uncertainty Principle (GUP). This approach shows that there is a maximum temperature for the black hole depending only on the electric charge and corresponding to the minimum radius of the event horizon, of the order of the Planck scale. Finally, we show that the heat capacity for this black hole has the expected behavior.

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