Cosmological dynamics of exponential gravity

Abstract

We present a detailed investigation of the cosmological dynamics based on $\exp (-R/\Lambda )$ gravity. We apply the dynamical system approach to both the vacuum and matter cases and obtain exact solutions and their stability in the finite and asymptotic regimes. The results show that cosmic histories exist which admit a double de-Sitter phase which could be useful for describing the early and the late-time accelerating universe.

17 pages LaTeX, 3 figures

References in corpus (26)

• Conditions for the cosmological viability of f(R) dark energy models
• Sudden Future Singularities
• Energy in Generic Higher Curvature Gravity Theories
• The Power of General Relativity
• Constraints on a Primordial Magnetic Field
• Cosmological dynamics of R^n gravity
• Dark energy and dark matter as curvature effects
• Observational constraints on low redshift evolution of dark energy: How consistent are different observations?
• Cosmological Limits on Slightly Skew Stresses
• More General Sudden Singularities
• The evolution of density perturbations in f(R) gravity
• New Isotropic and Anisotropic Sudden Singularities
• Anisotropically Inflating Universes
• Gravitational instability of Einstein-Gauss-Bonnet black holes under tensor mode perturbations
• Can higher order curvature theories explain rotation curves of galaxies?
• Further Exact Cosmological Solutions to Higher-Order Gravity Theories
• Shear dynamics in Bianchi I cosmologies with R^n-gravity
• Future Singularities of Isotropic Cosmologies
• Recovering the effective cosmological constant in extended gravity theories
• Future Asymptotic Behaviour of Tilted Bianchi models of type IV and VIIh
• The Weyl tensor in Spatially Homogeneous Cosmological Models
• Bianchi Cosmologies: A Tale of Two Tilted fluids
• The Futures of Bianchi type VII0 cosmologies with vorticity
• The late-time behaviour of vortic Bianchi type VIII Universes
• Future state of the Universe
• Hamiltonian Formulation of Bianchi Cosmological Models in Quadratic Theories of Gravity

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• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Dynamics of f(R)-cosmologies containing Einstein static models
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