TY - JOUR AU - Olmo, G. J. PY - 2011 DA - 2011// TI - Palatini approach to modified gravity: f(R) theories and beyond T2 - Int. J. Mod. Phys. D JO - International Journal of Modern Physics D SP - 413 EP - 462 VL - 20 IS - 4 PB - World Scientific Publ Co Pte Ltd KW - Palatini formalism KW - modified gravity KW - cosmic speed-up KW - dark energy KW - dark matter KW - MOND KW - quantum gravity phenomenology KW - Hamiltonian formulation KW - stellar structure KW - Cauchy problem KW - solar system tests AB - We review the recent literature on modified theories of gravity in the Palatini approach. After discussing the motivations that lead to consider alternatives to Einstein's theory and to treat the metric and the connection as independent objects, we review several topics that have been recently studied within this framework. In particular, we provide an in-depth analysis of the cosmic speed-up problem, laboratory and solar system tests, the structure of stellar objects, the Cauchy problem, and bouncing cosmologies. We also discuss the importance of going beyond the f(R) models to capture other phenomenological aspects related with dark matter/energy and quantum gravity. SN - 0218-2718 UR - http://arxiv.org/abs/1101.3864 UR - https://doi.org/10.1142/S0218271811018925 DO - 10.1142/S0218271811018925 LA - English N1 - WOS:000290228200001 ID - Olmo2011 ER -