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.

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

References in corpus (4)

• Dynamics of f(R)-cosmologies containing Einstein static models
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• Compactifying the state space for alternative theories of gravity

Cited by in corpus (5)

• Dynamics in Varying vacuum Finsler-Randers Cosmology
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
• Vacuum self similar anisotropic cosmologies in $F(R)-$gravity
• Exact analytical vacuum solutions of $R^n$-gravity model depending on two variables