Dynamical system analysis of hybrid metric-Palatini cosmologies

Hybrid Metric-Palatini Gravity

Recently, the phenomenology of f(R) gravity has been scrutinized. This scrutiny has been motivated by the possibility to account for the self-accelerated cosmic expansion without invoking dark energy sources. Besides, this kind of modified gravity is capable of addressing the dynamics of several self-gravitating systems alternatively to the presence of dark matter. It has been established that ...

Cosmology of hybrid metric-Palatini f(X)-gravity

Salvatore Capozziello, Tiberiu Harko, Tomi S. Koivisto, Francisco S.N. Lobo, and Gonzalo J. Olmo Dipartimento di Scienze Fisiche, Università di Napoli ”Federico II”, Napoli, Italy INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy Department of Physics and Center for Theoretical and Computational Physics, The University of Hong Kong, Pok Fu Lam...

Bouncing cosmologies in Palatini fðRÞ gravity

Hèlios Sanchis-Alepuz Departamento de Fı́sica Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC. Facultad de Fı́sica, Universidad de Valencia, Burjassot-46100, Valencia, Spain and Fachbereich Theoretische Physik, Institut für Physik, Karl-Franzens-Universität Graz, Universitätsplatz 5, A-8010 Graz, Austria (Received 12 June 2009; published 16 July 2009) We consider the early time cosmol...

Introduction to Palatini Theories of Gravity and Nonsingular Cosmologies

Metric Entropy of Dynamical System

We shall start by giving the definition of the entropy of dynamical system. Consider dynamical systems with discrete time. The phase space of dynamical system is denoted by M . It is equipped with σ-algebra M and a probability measure μ defined on M. In the general ergodic theory dynamics is given by a measurable transformation T of M onto itself preserving the measure μ. It is enough for many ...