Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?

Abstract

We study the dynamics of a homogeneous and isotropic Friedmann-Robertson-Walker universe in the context of the Eddington-inspired Born-Infeld theory of gravity. We generalize earlier results, obtained in the context of a radiation dominated universe, to account for the evolution of a universe permeated by a perfect fluid with an arbitrary equation of state parameter $w$. We show that a bounce may occur for $\kappa >0$, if $w$ is time-dependent, and we demonstrate that it is free from tensor singularities. We argue that Eddington-inspired Born-Infeld cosmologies may be a viable alternative to the inflationary paradigm as a solution to fundamental problems of the standard cosmological model.

4 pages, 1 figure

References in corpus (23)

• Modified Gravity and Cosmology
• On Born-Infeld Gravity in Weitzenbock spacetime
• Inflationary Cosmology
• On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase
• Eddington's theory of gravity and its progeny
• Duality Invariance of Cosmological Perturbation Spectra
• Particle physics models of inflation and curvaton scenarios
• Born-Infeld-Einstein Actions?
• Compact stars in Eddington inspired gravity
• Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
• Born-Infeld extension of new massive gravity
• Testing alternative theories of gravity using the Sun
• Born-Infeld-Einstein theory with matter
• A tensor instability in the Eddington inspired Born-Infeld Theory of Gravity
• Born-Infeld type Gravity
• Unitarity analysis of general Born-Infeld gravity theories
• A type of Born-Infeld regular gravity and its cosmological consequences
• Born-Infeld Gravity in any Dimension
• Born-Infeld Determinantal gravity and the taming of the conical singularity in 3-dimensional spacetime
• Gravity a la Born-Infeld
• On Born-Infeld Gravity in Three Dimensions
• On Dual Formulation of Gravity
• Is $w\ne -1$ evidence for a dynamical dark energy equation of state ?

Cited by in corpus (105)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• f(T) teleparallel gravity and cosmology
• Born-Infeld inspired modifications of gravity
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Geonic black holes and remnants in Eddington-inspired Born-Infeld gravity
• Structure of neutron, quark and exotic stars in Eddington-inspired Born-Infeld gravity
• Testing universal relations of neutron stars with a nonlinear matter-gravity coupling theory
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Cosmology with Eddington-inspired Gravity
• Born-Infeld gravity and its functional extensions
• Black hole solution and strong gravitational lensing in Eddington-inspired Born-Infeld gravity
• Extended matter bounce scenario in ghost free $f(R,\mathcal{G})$ gravity compatible with GW170817
• Strong gravitational lensing by an electrically charged black hole in Eddington-inspired Born-Infeld gravity
• Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation
• Big Bounce Genesis
• Wormholes with nonexotic matter in Born-Infeld gravity
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
• Domain Wall Brane in Eddington Inspired Born-Infeld Gravity
• Physics at the surface of a star in Eddington-inspired Born-Infeld gravity
• Compact stars in Eddington-inspired Born-Infeld gravity: Anomalies associated with phase transitions
• Universe Driven by Perfect Fluid in Eddington-inspired Born-Infeld Gravity
• Linear perturbations in Eddington-inspired Born-Infeld gravity
• Born-Infeld gravity coupled to Born-Infeld electrodynamics
• Properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity
• From a Bounce to the Dark Energy Era with $F(R)$ Gravity
• Born-Infeld-$f(R)$ gravity
• Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models
• Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures
• Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld
• Large Scale Structure Formation in Eddington-inspired Born-Infeld Gravity
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Non-singular Bounce Cosmology from Lagrange Multiplier $F(R)$ Gravity
• Bounce cosmology in $f(\mathcal{R})$ gravity
• Modified Eddington-inspired-Born-Infeld Gravity with a Trace Term
• Is Eddington-Born-Infeld theory really free of cosmological singularities?
• Little Rip, $\Lambda$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity
• Extended phase space thermodynamics and $P-V$ criticality: Brans-Dicke-Born-Infeld vs Einstein-Born-Infeld-dilaton black holes
• Precursor of Inflation
• Noether Identities and Gauge-Fixing the Action for Cosmological Perturbations
• Inner Structure of Black Holes in Eddington-inspired Born-Infeld gravity: the role of mass inflation
• Observational discrimination of Eddington-inspired Born-Infeld gravity from general relativity
• Cosmological singularities in Born-Infeld determinantal gravity
• Kinetic theory of Jean Instability in Eddington-inspired Born-Infield gravity
• Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
• On gravitational waves in Born-Infeld inspired non-singular cosmologies
• Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
• Palatini wormholes and energy conditions from the prism of General Relativity
• Born-Infeld Gravity with a Massless Graviton in Four Dimensions
• Towards the Quantization of Eddington-inspired-Born-Infeld Theory
• Interacting spin-2 fields in the Stueckelberg picture
• Classical resolution of black hole singularities in arbitrary dimension
• Scalar geons in Born-Infeld gravity
• Stability and (quasi-)localization of gravitational fluctuations in Eddington-Inspired Born-Infeld brane system
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Mass inflation in Eddington-inspired Born-Infeld black holes: analytical scaling solutions
• Cascading dust inflation in Born-Infeld gravity
• A new synthesis of matter and gravity: A nongravitating scalar field
• Black hole solutions in functional extensions of Born-Infeld gravity
• Accelerated observers and the notion of singular spacetime
• Born-Infeld cosmology with scalar Born-Infeld matter
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Tensor-to-Scalar Ratio in Eddington-inspired Born-Infeld Inflation
• Doomsdays in a modified theory of gravity: A classical and a quantum approach
• Riemann-Eddington theory: Incorporating matter, degravitating the cosmological constant
• Three dimensional Eddington--inspired Born--Infeld gravity: solutions
• Probing gravity at sub-femtometer scales through the pressure distribution inside the proton
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Aspects of non-singular bounce in modified gravity theories
• On generalized wormhole in the Eddington inspired Born-Infeld (EiBI) gravity
• Singular Instantons in Eddington-inspired-Born-Infeld Gravity
• Inflationary Tensor Perturbation in Eddington-inspired Born-Infeld gravity
• The final state of gravitational collapse in Eddington-inspired Born-Infeld theory
• Nonsingular black holes in Palatini extensions of General Relativity
• Primordial brusque bounce in Born-Infeld determinantal gravity
• Motion of Spinning Particles around Electrically Charged Black Hole in Eddington-inspired Born-Infeld Gravity
• Regular Instantons in the Eddington-inspired-Born-Infeld Gravity: Lorentzian Wormholes from Bubble Nucleations
• Melvin Universe in Born-Infeld gravity
• The virial theorem in Eddington-Born-Infeld gravity
• Scalar perturbations of Eddington-inspired Born-Infeld braneworld
• Gravitational collapse in $(2+1)$-dimensional Eddington-inspired Born-Infeld gravity
• Cosmology in a reduced Born-Infeld--$f(T)$ theory of gravity
• Magnetized relativistic stellar models in Eddington-inspired Born-Infeld gravity
• Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
• Non-Gaussian signatures of general inflationary trajectories
• Born-Infeld gravity with a Brans-Dicke scalar
• Local fragmentation of thin disks in Eddington-inspired gravity
• Spectral indices in Eddington-inspired Born-Infeld inflation
• Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity
• Origin of the universe: A hint from Eddington-inspired Born-Infeld gravity
• Constraint on dark matter central density in the Eddington inspired Born-Infeld (EiBI) gravity with input from Weyl gravity
• Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology
• Anisotropic Born-Infeld-f(R) Cosmologies
• Cosmology of unimodular Born-Infeld-$f(R)$ gravity
• Threshold of primordial black hole formation in Eddington-inspired-Born-Infeld gravity
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Domain walls and other defects in Eddington-inspired Born-Infeld gravity
• Discussion of a possible corrected black hole entropy
• Eddington-inspired-Born-Infeld tensorial instabilities neutralized in a quantum approach
• Born-Infeld-f(R) black holes
• Tensor stability in Born-Infeld determinantal gravity
• Modified gravity in three dimensional metric-affine scenarios
• A link between ghost-free bimetric and Eddington-inspired Born-Infeld theory
• Charged black holes in Eddington-inspired Born-Infeld gravity: An in-depth analysis of the structure of spacetime geometry