RT Journal Article T1 Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories A1 Cruz Dombriz, Álvaro de la A1 Sáez Gómez, Diego AB Along this review, we focus on the study of several properties of modified gravity theories, in particular on black-hole solutions and its comparison with those solutions in General Relativity, and on Friedmann-Lemaitre-Robertson-Walker metrics. The thermodynamical properties of fourth order gravity theories are also a subject of this investigation with special attention on local and global stability of paradigmatic f(R) models. In addition, we revise some attempts to extend the Cardy-Verlinde formula, including modified gravity, where a relation between entropy bounds is obtained. Moreover, a deep study on cosmological singularities, which appear as a real possibility for some kind of modified gravity theories, is performed, and the validity of the entropy bounds is studied. PB Multidisciplinary Digital Publishing Institute SN 1099-4300 YR 2012 FD 2012-09-18 LK https://hdl.handle.net/20.500.14352/44479 UL https://hdl.handle.net/20.500.14352/44479 LA eng NO 208 referencias bibliográficas NO © 2012 by the authors; licensee MDPI, Basel, Switzerland. AdlCD acknowledges financial support from URC and NRF (South Africa), MICINN (Spain) project numbers FIS2011-23000, FPA2011-27853-C02-01 and Consolider-Ingenio MULTIDARK CSD2009-00064.DSG acknowledges support from a postdoctoral contract from the University of the Basque Country (UPV/EHU). DSG is also supported by the research project FIS2010-15492, and also by the Basque Government through the special research action KATEA and UPV/EHU under program UFI 11/55. NO URC (South Africa) NO NRF (South Africa) NO Ministerio de Ciencia e Innovación (MICINN), España NO Consolider-Ingenio MULTIDARK NO Universidad del País Vasco/ Euskal Herriko Unibertsitatea/ University of the Basque Country (UPV/EHU) NO Eusko Jaurlaritza - Gobierno Vasco DS Docta Complutense RD 29 abr 2024