Phase Space of Anisotropic $R^n$ Cosmologies

Abstract

We construct general anisotropic cosmological scenarios governed by an $f(R)=R^n$ gravitational sector. Focusing then on some specific geometries, and modelling the matter content as a perfect fluid, we perform a phase-space analysis. We analyze the possibility of accelerating expansion at late times, and additionally, we determine conditions for the parameter $n$ for the existence of phantom behavior, contracting solutions as well as of cyclic cosmology. Furthermore, we analyze if the universe evolves towards the future isotropization without relying on a cosmic no-hair theorem. Our results indicate that anisotropic geometries in modified gravitational frameworks present radically different cosmological behaviors compared to the simple isotropic scenarios.

arXiv commentPrepared for the First Caribbean Symposium on Nuclear and Astroparticle Physics - STARS2011

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• Dynamics of Chiral Cosmology
• Reconstruction method of $f(R)$ gravity for isotropic and anisotropic spacetimes
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
• Nonlinear anisotropy growth in Bianchi-I spacetime in metric $f(R)$ cosmology
• Exact analytical vacuum solutions of $R^n$-gravity model depending on two variables
• Vacuum self similar anisotropic cosmologies in $F(R)-$gravity