Avoidance of future singularities in loop quantum cosmology

Abstract

We consider the fate of future singularities in the effective dynamics of loop quantum cosmology. Non-perturbative quantum geometric effects which lead to ${\rho }^2$ modification of the Friedmann equation at high energies result in generic resolution of singularities whenever energy density $\rho$ diverges at future singularities of Friedmann dynamics. Such quantum effects lead to the avoidance of a Big Rip, which is followed by a recollapsing universe stable against perturbations. Resolution of sudden singularity, the case when pressure diverges but energy density approaches a finite value depends on the ratio of the latter to a critical energy density of the order of Planck. If the value of this ratio is greater than unity, the universe escapes the sudden future singularity and becomes oscillatory.

6 pages, 2 figures

References in corpus (47)

• The Cosmological Constant and Dark Energy
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• The Cosmological Constant
• Phantom Energy and Cosmic Doomsday
• Background Independent Quantum Gravity: A Status Report
• Exponential potentials and cosmological scaling solutions
• Properties of singularities in (phantom) dark energy universe
• Quantum Nature of the Big Bang
• Absence of Singularity in Loop Quantum Cosmology
• Gauss-Bonnet dark energy
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Dark Matter and Dark Energy
• Loop Quantum Cosmology
• Sudden Future Singularities
• Singularity-free cosmological solutions of the superstring effective action
• Quantum geometry and the Schwarzschild singularity
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Lectures on Loop Quantum Gravity
• Towards a non-singular pre-big bang cosmology
• Bouncing Braneworlds
• Coupled dark energy: Towards a general description of the dynamics
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Inflation from Quantum Geometry
• The fate of (phantom) dark energy universe with string curvature corrections
• "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
• On the Construction of Nonsingular Pre-Big-Bang and Ekpyrotic Cosmologies and the Resulting Density Perturbations
• Dark energy and cosmological solutions in second-order string gravity
• A Model of Graceful Exit in String Cosmology
• Singularity-free cosmological solutions in quadratic gravity
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• Loop quantum gravity effects on inflation and the CMB
• Big Crunch Avoidance in k = 1 Semi-Classical Loop Quantum Cosmology
• Quantum evaporation of a naked singularity
• A black hole mass threshold from non-singular quantum gravitational collapse
• Oscillatory Universes in Loop Quantum Cosmology and Initial Conditions for Inflation
• Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
• Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
• The graceful exit in pre-big bang string cosmology
• Loop corrections and graceful exit in string cosmology
• Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology
• Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
• Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
• Regular cosmological solutions in low energy effective action from string theories
• Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
• Construction of nonsingular cosmological solutions in string theories

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• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Loop Quantum Cosmology: A Status Report
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Are loop quantum cosmos never singular?
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Dynamics of Nonlocal Cosmology
• Bouncing cosmology with future singularity from modified gravity
• Is loop quantization in cosmology unique?
• Bouncing Loop Quantum Cosmology from $F(T)$ gravity
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology
• On the quantum fate of singularities in a dark-energy dominated universe
• Exotic singularities and spatially curved Loop Quantum Cosmology
• Future singularities and Teleparallelism in Loop Quantum Cosmology
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Dynamics of interacting dark energy model in Einstein and Loop Quantum Cosmology
• Entropy-Corrected Holographic Dark Energy
• Phantom field dynamics in loop quantum cosmology
• On the generalised Chaplygin gas: worse than a big rip or quieter than a sudden singularity?
• Inflation in a viscous fluid model
• Classical Stability of Sudden and Big Rip Singularities
• Qualitative dynamics and inflationary attractors in loop cosmology
• Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
• Is the future universe singular: Dark Matter versus modified gravity?
• Scalar dark energy models mimicking $\Lambda$CDM with arbitrary future evolution
• Modified first-order Horava-Lifshitz gravity: Hamiltonian analysis of the general theory and accelerating FRW cosmology in power-law F(R) model
• Inflationary universe in loop quantum cosmology
• Bounce universe from string-inspired Gauss-Bonnet gravity
• Turbulence and Little Rip Cosmology
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Dynamics of Quintom and Hessence Energies in Loop Quantum Cosmology
• Cosmological evolution of interacting phantom (quintessence) model in Loop Quantum Gravity
• Warm inflationary model in loop quantum cosmology
• Geodesic completeness and the lack of strong singularities in effective loop quantum Kantowski-Sachs spacetime
• Quantum Particle Production at Sudden Singularities
• Dark energy: investigation and modeling
• Appeasing the Phantom Menace?
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• Does loop quantum cosmology replace the big rip singularity by a non-singular bounce?
• Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
• Coupled Quintessence and Phantom Based On a Dilaton
• Singularities in loop quantum cosmology
• Resolution of strong singularities and geodesic completeness in loop quantum Bianchi-II spacetimes
• The Dark Side of a Patchwork Universe
• Type I singularities and the Phantom Menace
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry
• Deformed Matter Bounce with Dark Energy Epoch
• Singularity of spherically-symmetric spacetime in quintessence/phantom dark energy universe
• Confronting dark energy models mimicking $\Lambda$CDM epoch with observational constraints: future cosmological perturbations decay or future Rip?
• Loop Quantum Cosmology: A brief review
• Tachyon field in Loop Quantum Cosmology: inflation and evolution picture
• Phantom singularities and their quantum fate: general relativity and beyond
• Exact solutions in bouncing cosmology
• Recent advances in cosmological singularities
• Tradeoff between Smoother and Sooner "Little Rip"
• Dark Energy Interacting with Dark Matter in Classical Einstein and Loop Quantum Cosmology
• Transcending Big Bang in Loop Quantum Cosmology: Recent Advances
• Fluctuations of an evaporating black hole from back reaction of its Hawking radiation: Questioning a premise in earlier work
• Extended Phase Space Analysis of Interacting Dark Energy Models in Loop Quantum Cosmology
• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• Future singularities if the universe underwent Starobinsky inflation in the past
• Implications of quantum ambiguities in k=1 loop quantum cosmology: distinct quantum turnarounds and the super-Planckian regime
• Evolution of Primordial Black Holes in Loop Quantum Gravity
• Bianchi-I cosmological model and crossing singularities
• Future singularity avoidance in phantom dark energy models
• Curvature Inspired Cosmological Scenario
• Singular deformations of nearly $R^2$ inflation potentials
• Anisotropic power-law inflation in a two-scalar-field model with a mixed kinetic term
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Equation-of-state formalism for dark energy models on the brane and the future of brane universes
• Multi-fluid potential in the loop cosmology
• The fate of bound systems through Sudden Future Singularities
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Testing and selection of cosmological models with $(1+z{)}^6$ corrections
• Conformal anomaly around the sudden singularity
• Periodic Cosmological Evolutions of Equation of State for Dark Energy
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
• Creation of particles in a cyclic universe driven by loop quantum cosmology
• Rip Brane Cosmology from 4d Inhomogeneous Dark Fluid Universe
• Wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole
• Knot Universes in Bianchi Type I Cosmology
• A primer on problems and prospects of dark energy
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
• Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Effective Actions for Loop Quantum Cosmology in Fourth-Order Gravity
• Running of the Spectral index in Deformed Matter Bounce Scenarios with Hubble-rate-dependent Dark Energy
• Constraining Parameters of Generalized Cosmic Chaplygin Gas in Loop Quantum Cosmology
• Qualitative study in Loop Quantum Cosmology
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Sudden Future Singularities in Quintessence and Scalar-Tensor Quintessence Models
• Generalized Interacting Dark Energy Model and Loop Quantum Cosmology
• Is a Topology Change After a Big Rip Possible?
• Infrared signatures of quantum bounce in a minisuperspace analysis of Lema\^ıtre-Tolman-Bondi dust collapse
• Brane cosmology from observational surveys and its comparison with standard FRW cosmology
• Bouncing cosmologies in geometries with positively curved spatial sections
• Quasinormal modes of noncommutative geometry-inspired dirty black holes
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas
• Phantom scalar emission in the Kerr black hole spacetime
• Analyzing quantum gravity spillover in the semiclassical regime
• Acceleration and Deceleration in Curvature Induced Phantom Model of the Late and Future Universe, Cosmic Collapse as Well as its Quantum Escape
• Loop Quantum Cosmology and the Fine Structure Constant
• Thermodynamics properties of the dark energy in loop quantum cosmology
• Viscous effect in the late time evolution of phantom universe
• Effect of the Inverse Volume Modification in Loop Quantum Cosmology
• Covariant single-field formulation of effective cosmological bounces