Dobado González, AntonioCruz Dombriz, Álvaro de laLópez Maroto, Antonio2023-06-202023-06-2020101742-658810.1088/1742-6596/229/1/012033https://hdl.handle.net/20.500.14352/43781© 2010 IOP Publishing Ltd. Spanish Relativity Meeting (2009). This work has been supported by the MICINN (Spain) project numbers FIS 2008-01323 and FPA 2008-00592, UCM-Santander PR34/07-15875 and UCM-BSCH GR58/08 910309In the context of f(R) gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions, and second, the general case (without imposing constant curvature) is also studied. Performing a perturbative expansion around the Einstein-Hilbert action, it is found that only solutions of the Schwarzschild-(Anti-) de Sitter type are present (up to second order in perturbations) and the explicit expressions for these solutions are provided in terms of the f(R) function. Finally we consider the thermodynamics of black holes in Anti-de Sitter space-time and study their local and global stability.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttp://iopscience.iop.org/1742-6596/229/1/012033http://iopscience.iop.orgopen access53Modified GravityThermodynamicsDesitterEntropyEnergySpaceFísica (Física)22 Física