Cosmology with Eddington-inspired Gravity

Abstract

We study the dynamics of homogeneous, isotropic universes which are governed by the Eddington-inspired alternative theory of gravity which has a single extra parameter, $\kappa$. Previous results showing singularity-avoiding behaviour for $\kappa >0$ are found to be upheld in the case of domination by a perfect fluid with equation of state parameter $w>0$. The range $-1/3<w<0$ is found to lead to universes which experience unbounded expansion rate whilst still at a finite density. In the case $\kappa <0$ the addition of spatial curvature is shown to lead to the possibility of oscillation between two finite densities. Domination by a scalar field with an exponential potential is found to also lead to singularity-avoiding behaviour when $\kappa >0$. Certain values of the parameters governing the potential lead to behaviour in which the expansion rate of the universe changes sign several times before transitioning to regular GR-like behaviour.

13 pages, 8 figures

References in corpus (4)

• Resummation of Massive Gravity
• Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
• Classifying and avoiding singularities in the alternative gravity dark energy models
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• Black hole solutions in mimetic Born-Infeld gravity
• Little Rip, $\Lambda$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity
• Cosmological singularities in Born-Infeld determinantal gravity
• Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
• Towards the Quantization of Eddington-inspired-Born-Infeld Theory
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Black hole solutions in functional extensions of Born-Infeld gravity
• Riemann-Eddington theory: Incorporating matter, degravitating the cosmological constant
• Tensor-to-Scalar Ratio in Eddington-inspired Born-Infeld Inflation
• Kaluza Ansatz applied to Eddington inspired Born-Infeld Gravity
• A general theory of linear cosmological perturbations: bimetric theories
• Singular Instantons in Eddington-inspired-Born-Infeld Gravity
• Nonsingular black holes in Palatini extensions of General Relativity
• Inflationary Tensor Perturbation in Eddington-inspired Born-Infeld gravity
• Cosmology in a reduced Born-Infeld--$f(T)$ theory of gravity
• Scalar perturbations of Eddington-inspired Born-Infeld braneworld
• Born-Infeld gravity with a Brans-Dicke scalar