Recent advances in cosmological singularities

Abstract

The discovery of universe's late-time acceleration and dark energy has overseen a great deal of research into cosmological singularities and in this brief review, we discuss all the prominent developments in this field for the best part of the last 2 decades. We discuss the fundamentals of space-time singularities after which we discuss about all the different forms of cosmological singularities which have been discovered in recent times in detail. We then talk about methods and techniques to avoid or moderate these singularities in various theories and discuss how these singularities can occur in non-conventional cosmologies too. We then discuss a useful dynamical systems approach to deal with these singularities and finish up with some outlooks for the field. We hope that this work serves as a good resource to anyone who wants to update themselves with the developments in this very exciting area.

arXiv commentInvited review for the Feature Articles 2023 of the Symmetry journal, invited by Prof. Sergei Odintsov. 60 pages, 1 figure, 1 table, 2 appendices (v2, abstract changed, references added)

References in corpus (182)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Cosmological Constant - the Weight of the Vacuum
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Phantom Energy and Cosmic Doomsday
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• k-Inflation
• Kinetically Driven Quintessence
• Curvature Quintessence
• Can the dark energy equation-of-state parameter w be less than -1?
• Properties of singularities in (phantom) dark energy universe
• Cosmology and Fundamental Physics with the Euclid Satellite
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Quantum deSitter cosmology and phantom matter
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Design Concepts for the Cherenkov Telescope Array
• Brane-World Gravity
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Braneworld models of dark energy
• Quintessence: A Review
• The final state and thermodynamics of dark energy universe
• Twenty Years of the Weyl Anomaly
• Inflationary spacetimes are not past-complete
• The Emergent Universe: inflationary cosmology with no singularity
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Sudden Future Singularities
• Quintessence as a run-away dilaton
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Fundamental Physics with the Square Kilometre Array
• Quintessence without scalar fields
• Tsallis Holographic Dark Energy
• Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
• Tachyons, Scalar Fields and Cosmology
• Quantum escape of sudden future singularity
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Cosmologies with Varying Light-Speed
• Inflation and quintessence with nonminimal coupling
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Shadows of spherically symmetric black holes and naked singularities
• Cosmology of the Planck Era from a Renormalization Group for Quantum Gravity
• The dS/CFT Correspondence and the Big Smash
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• The Little Rip
• Viscous Cosmology for Early- and Late-Time Universe
• Viscous Little Rip Cosmology
• Recent developments in gravitational collapse and spacetime singularities
• deSitter brane universeinduced by phantom and quantum effects
• Quiescent cosmological singularities
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• The fate of (phantom) dark energy universe with string curvature corrections
• More General Sudden Singularities
• Cosmology with Self-Adjusting Vacuum Energy Density from a Renormalization Group Fixed Point
• Modified cosmology from extended entropy with varying exponent
• Geodesic behavior of sudden future singularities
• Superquintessence
• "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Worse than a big rip?
• Why do naked singularities form in gravitational collapse?
• Non-perturbative effects of vacuum energy on the recent expansion of the universe
• New Cosmological Singularities in Braneworld Models
• Singular Bouncing Cosmology from Gauss-Bonnet Modified Gravity
• Classification of cosmological milestones
• Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
• Quantum phantom cosmology
• Avoidance of future singularities in loop quantum cosmology
• Equilibrium configurations from gravitational collapse
• Models for Little Rip Dark Energy
• String Duality--A Colloquium
• Asymptotically Safe Inflation
• Pseudo-rip: Cosmological models intermediate between the cosmological constant and the little rip
• Phantom Cosmology without Big Rip Singularity
• Bouncing cosmology with future singularity from modified gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• The oscillating dark energy: future singularity and coincidence problem
• Quantum evaporation of a naked singularity
• The Final Fate of Spherical Inhomogeneous Dust Collapse
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Time-dependent matter instability and star singularity in $F(R)$ gravity
• Generalizing the generalized Chaplygin gas
• Asymptotically safe cosmology - a status report
• From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• On the cosmological constant problem
• Entropy signature of the running cosmological constant
• Quintessential Inflation on the Brane and the Relic Gravity Wave Background
• Axion Phantom Energy
• Singular Inflationary Universe from $F(R)$ Gravity
• Tachyon dark energy models: dynamics and constraints
• How to Test Stringy Dark Energy?
• On the quantum fate of singularities in a dark-energy dominated universe
• Future singularities and Teleparallelism in Loop Quantum Cosmology
• Barotropic index w-singularities in cosmology
• Exotic singularities and spatially curved Loop Quantum Cosmology
• Dynamics of interacting dark energy model in Einstein and Loop Quantum Cosmology
• Finite-time singularities in f(R, T) gravity and the effect of conformal anomaly
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• Spherical gravitational collapse in N-dimensions
• A thermodynamic motivation for dark energy
• Equilibrium thermodynamics in modified gravitational theories
• Achronal cosmic future
• The little sibling of the big rip singularity
• Trace-anomaly driven inflation in modified gravity and the BICEP2 result
• Classical Stability of Sudden and Big Rip Singularities
• Emergent Cosmology, Inflation and Dark Energy
• Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology
• Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
• Slow-roll k-essence
• 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
• Strings at future singularities
• Turbulence and Little Rip Cosmology
• AdS/CFT correspondence, conformal anomaly and quantum corrected entropy bounds
• Astronomical bounds on future big freeze singularity
• Generalised DBI-Quintessence
• $w$-cosmological singularities
• Dark Energy Coupled with Dark Matter in Viscous Fluid Cosmology
• Did the Universe Experienced a Pressure non-Crushing Type Cosmological Singularity in the Recent Past?
• Interacting 3-form dark energy models: distinguishing interactions and avoiding the Little Sibling of the Big Rip
• Big-bounce and future time singularity resolution in Bianchi I: the projective invariant Nieh-Yan case
• Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures
• Hidden past of dark energy cosmological models
• Is the dark energy equation of state parameter singular?
• Rip cosmological models in extended symmetric teleparallel gravity
• Regularizing cosmological singularities by varying physical constants
• The holographic induced gravity model with a Ricci dark energy: smoothing the little rip and big rip through Gauss-Bonnet effects?
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• Quasi-Rip: A New Type of Rip Model without Cosmic Doomsday
• Cosmological singularities in Born-Infeld determinantal gravity
• Dark Energy Properties in DBI Theory
• Big Rip and Little Rip solutions in scalar model with kinetic and Gauss Bonnet couplings
• Cosmological tests of sudden future singularities
• The Dominant Balance at Cosmological Singularities
• Singular $F(R)$ Cosmology Unifying Early and Late-time Acceleration with Matter and Radiation Domination Era
• Cosmological singularities in interacting dark energy models with an $\omega (q)$ parametrization
• Hot big bang or slow freeze?
• Power laws, scale invariance, and generalized Frobenius series: Applications to Newtonian and TOV stars near criticality
• Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
• Grand Rip and Grand Bang/Crunch cosmological singularities
• Interacting quintessence in light of Generalized Uncertainty Principle: Cosmological perturbations and dynamics
• Archimedean-type force in a cosmic dark fluid: III. Big Rip, Little Rip and Cyclic solutions
• Classical and quantum cosmology of the little rip abrupt event
• An interacting New Holographic Dark Energy in the framework of fractal cosmology
• Alternative mechanism of avoiding the big rip or little rip for a scalar phantom field
• Statistical hierarchy of varying speed of light cosmologies
• Self-interacting Scalar Field Trapped in a Randall-Sundrum Braneworld: The Dynamical Systems Perspective
• Brane singularities and their avoidance
• Rip/singularity free cosmology models with bulk viscosity
• Little Rip cosmological models with time-dependent equation of state
• Varying constants quantum cosmology
• General dynamical properties of cosmological models with nonminimal kinetic coupling
• Asymptotics of flat, radiation universes in quadratic gravity
• Finite time future singularities in the interacting dark sector
• More on the holographic Ricci dark energy model: smoothing Rips through interaction effects?
• Cosmological Models Coupled with Dark Matter in a Dissipative Universe
• Generalized strong curvature singularities and weak cosmic censorship in cosmological space-times
• Singularity formation in asymptotically safe cosmology with inhomogeneous equation of state
• Initial directional singularity in inflationary models
• Observational constraints on finite scale factor singularities
• Brane singularities with mixtures in the bulk
• A Dark Energy Model with Generalized Uncertainty Principle in the Emergent, Intermediate and Logamediate Scenarios of the Universe
• Interacting realization of cosmological singularities with variable vacuum energy
• The little rip in classical and quantum $f(R)$ cosmology
• Inaccessible Singularities in Toral Cosmology
• Rip brane cosmology from a viscous holographic dark fluid
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Classifying the behavior of noncanonical quintessence
• New futures for cosmological models
• Reconstruction of DBI-essence dark energy with f(R) gravity and its effect on black hole and wormhole mass accretion
• Interacting Dark Side of Universe Through Generalized Uncertainty Principle
• Holographic cosmology with two coupled fluids in the presence of viscosity
• Is a pole type singularity an alternative to inflation?
• Type V singularities with inhomogeneous equations of state
• Strength of the singularities, equation of state and asymptotic expansion

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• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Neutrino cosmology after DESI: tightest mass upper limits, preference for the normal ordering, and tension with terrestrial observations
• Negative cosmological constant in the dark energy sector: tests from JWST photometric and spectroscopic observations of high-redshift galaxies
• Combining pre- and post-recombination new physics to address cosmological tensions: case study with varying electron mass and sign-switching cosmological constant
• Fractional Holographic Dark Energy
• Tsallis holographic dark energy with power law ansatz approach
• Linear matter density perturbations in the ${\Lambda }_{\mathrm{s}}$CDM model: Examining growth dynamics and addressing the $S_8$ tension
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• A new approach to $P-V$ phase transitions: Einstein gravity and holographic type dark energy
• I. Linear Interacting Dark Energy: Analytical Solutions and Theoretical Pathologies
• New perspectives on future rip scenarios with holographic dark energy
• Cosmology of unimodular Born-Infeld-$f(R)$ gravity
• Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions
• Rips and regular future scenario with Holographic Dark Energy: A comprehensive look
• Cosmological singularities in non-canonical models of dark energy
• On rips and cosmological singularities in a universe merging with baby universes
• Game Theory in Cosmology
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions
• Einstein Frame Regularization of the JNW Spacetime: From Brans-Dicke Singularity to Ellis Wormhole
• A Spectrum of Cosmological Rips and Their Observational Signatures
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• Cosmological Implications of Thermodynamic Split Conjecture
• Future Dark Energy Constraints from Atomic Clocks
• Singularity Avoidance in Gravitational Collapse of an Inhomogeneous Fluid in Rastall Gravity