The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion

Abstract

We analyze the phase space of Bianchi I cosmologies filled by a spin fluid in the framework of $f(R)$-gravity with torsion using a combination of the dynamical systems approach and the 1+3 covariant formalism. In the simple case of $f(R)=R^n$ our results allow a quantification of the role of torsion and the spin of the cosmic fluid in the evolution of the cosmology. While torsion is able to modify the cosmological dynamics with respect to the purely metric case, the spin has little influence on the cosmology. We argue that this is due to the different symmetries of the tensor characterizing the anisotropies and the spin tensor. The cosmological model we analyzed presents isotropization for a wide set of initial conditions and values of the parameters and allows for two types of exotic bounce solutions.

22 page, 6 figures, submitted to Classical and Quantum Gravity

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• Bianchi I Model: An Alternative Way To Model The Presentday Universe
• A new approach to the analysis of the phase space of f(R)-gravity
• Bumblebee field as a source of cosmological anisotropies
• Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models
• Cosmology of $f(R,\square R)$ gravity
• Phase space of modified Gauss-Bonnet gravity
• Bianchi type I cosmology with a Kalb-Ramond background field
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• On the junction conditions in $f(R)$-gravity with torsion
• New class of generalized coupling theories
• Dynamical system analysis of cosmological evolution in the Aether scalar tensor theory
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Bianchi type-I cosmological dynamics in $f(\mathcal{Q})$ gravity: a covariant approach
• Non minimally coupled condensate cosmologies: a phase space analysis
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• Exact analytical vacuum solutions of $R^n$-gravity model depending on two variables
• $\Lambda$CDM-like evolution in Einstein-scalar-Gauss-Bonnet gravity