Late time cosmic acceleration from natural infrared cutoff?

Abstract

In this paper, inspired by the ultraviolet deformation of the Friedmann-Lema\^ıtre-Robertson-Walker geometry in loop quantum cosmology, we formulate an infrared-modified cosmological model. We obtain the associated deformed Friedmann and Raychaudhuri equations and we show that the late time cosmic acceleration can be addressed by the infrared corrections. As a particular example, we applied the setup to the case of matter dominated universe. This model has the same number of parameters as $\Lambda$CDM, but a dynamical dark energy generates in the matter dominated era at the late time. According to our model, as the universe expands, the energy density of the cold dark matter dilutes and when the Hubble parameter approaches to its minimum, the infrared effects dominate such that the effective equation of state parameter smoothly changes from $w_{{}_{\mathrm{eff}}}=0$ to $w_{{}_{\mathrm{eff}}}=-2$. Interestingly and nontrivially, the unstable de Sitter phase with $w_{{}_{\mathrm{eff}}}=-1$ is corresponding to ${\Omega }_m={\Omega }_d=0.5$ and the universe crosses the phantom divide from the quintessence phase with $w_{{}_{\mathrm{eff}}}>-1$ and ${\Omega }_m>{\Omega }_d$ to the phantom phase with $w_{{}_{\mathrm{eff}}}<-1$ and ${\Omega }_m<{\Omega }_d$ which shows that the model is observationally viable. The results show that the universe finally ends up in a big rip singularity for a finite time proportional to the inverse of the minimum of the Hubble parameter. Moreover, we consider the dynamical stability of the model and we show that the universe starts from the matter dominated era at the past attractor with $w_{{}_{\mathrm{eff}}}=0$ and ends up in a future attractor at the big rip with $w_{{}_{\mathrm{eff}}}=-2$.

arXiv comment11 pages, 2 figures, accepted for publication in PLB

References in corpus (61)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• f(R) theories
• Cosmological Constant - the Weight of the Vacuum
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Cosmology and the Fate of Dilatation Symmetry
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Cosmological Constant
• An alternative to quintessence
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Phantom Energy and Cosmic Doomsday
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Discreteness of area and volume in quantum gravity
• Quantum gravity and minimum length
• Quantum Nature of the Big Bang: Improved dynamics
• A Generalized Uncertainty Principle in Quantum Gravity
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Quantum Nature of the Big Bang
• Dark Energy
• Black hole entropy in Loop Quantum Gravity
• Loop Quantum Gravity
• Cosmology with tachyon field as dark energy
• Cosmology of Brane Models with Radion Stabilization
• Are f(R) dark energy models cosmologically viable ?
• Reconciling dark energy models with f(R) theories
• Cardassian Expansion: a Model in which the Universe is Flat, Matter Dominated, and Accelerating
• Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
• The Cosmological Constant Problem and Quintessence
• Dark Energy and Gravity
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Maximal Localisation in the Presence of Minimal Uncertainties in Positions and Momenta
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Non-local gravity and dark energy
• Cosmology of the Galileon from Massive Gravity
• Polymer Quantum Mechanics and its Continuum Limit
• On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
• Phantom dark energy from non-local infrared modifications of General Relativity
• Classical and quantum mechanics of the nonrelativistic Snyder model
• On big rip singularities
• Positive cosmological constant in loop quantum cosmology
• Fluid Interpretation of Cardassian Expansion
• Zero-point quantum fluctuations and dark energy
• The LQC evolution operator of FRW universe with positive cosmological constant
• Generalized uncertainty principles and localization in discrete space
• Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
• Problems with Time-Varying Extra Dimensions or "Cardassian Expansion" as Alternatives to Dark Energy
• On Noncommutative Geometric Regularisation
• Introduction to the application of the dynamical systems theory in the study of the dynamics of cosmological models of dark energy
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Compact phase space, cosmological constant, discrete time
• Modified gravity in Arnowitt-Deser-Misner formalism
• Natural Cutoffs via Compact Symplectic Manifolds
• Effective constrained polymeric theories and their continuum limit
• Exponential Cardassian Universe
• Thermostatistics of the Polymeric Ideal Gas
• Polymer quantization versus the Snyder noncommutative space

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