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Dynamical system analysis of hybrid metric-Palatini cosmologies

S. Carloni, T. S. Koivisto, F. S. N. Lobo

The so-called f (X ) hybrid metric-Palatini gravity, where X =R +T , with T the stress-energy trace and R the Ricci scalar, presents a unique viable generalization of the f (R ) theories within the metric-affine formalism. In this paper, the cosmology of the f (X ) theories is studied using the dynamical system approach. The method consists of formulating the propagation equation in terms of suitable (expansion-normalized) variables as an autonomous system. The fixed points of the system then represent exact cosmological solutions described by power law or de Sitter expansion. The formalism is applied to two classes of f (X ) models, revealing both standard cosmological fixed points and new accelerating solutions that can be attractors in the phase space. In addition, the fixed point with vanishing expansion rate is considered with special care in order to characterize the stability of Einstein static spaces and bouncing solutions.

Physical Review D
Volume 92, Issue 6, Page 064035
2015 September

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia