TY - JOUR AU - Capozziello, S. AU - Harko, T. AU - Koivisto, T. S. AU - Lobo, F. S. N. AU - Olmo, G. J. PY - 2013 DA - 2013// TI - Cosmology of hybrid metric-Palatini f(X)-gravity T2 - J. Cosmol. Astropart. Phys. JO - Journal of Cosmology and Astroparticle Physics SP - 011 EP - 25pp VL - 04 IS - 4 PB - Iop Publishing Ltd KW - modified gravity KW - dark energy theory AB - A new class of modified theories of gravity, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an f(R) term constructed a la Palatini was proposed recently. The dynamically equivalent scalar-tensor representation of the model was also formulated, and it was shown that even if the scalar field is very light, the theory passes the Solar System observational constraints. Therefore the model predicts the existence of a long-range scalar field, modifying the cosmological and galactic dynamics. An explicit model that passes the local tests and leads to cosmic acceleration was also obtained. In the present work, it is shown that the theory can be also formulated in terms of the quantity X equivalent to kappa T-2 + R, where T and R are the traces of the stress-energy and Ricci tensors, respectively. The variable X represents the deviation with respect to the field equation trace of general relativity. The cosmological applications of this hybrid metric-Palatini gravitational theory are also explored, and cosmological solutions coming from the scalar-tensor representation of f(X)-gravity are presented. Criteria to obtain cosmic acceleration are discussed and the field equations are analyzed as a dynamical system. Several classes of dynamical cosmological solutions, depending on the functional form of the effective scalar field potential, describing both accelerating and decelerating Universes are explicitly obtained. Furthermore, the cosmological perturbation equations are derived and applied to uncover the nature of the propagating scalar degree of freedom and the signatures these models predict in the large-scale structure. SN - 1475-7516 UR - http://arxiv.org/abs/1209.2895 UR - https://doi.org/10.1088/1475-7516/2013/04/011 DO - 10.1088/1475-7516/2013/04/011 LA - English N1 - WOS:000318556200011 ID - Capozziello_etal2013 ER -