More General Sudden Singularities
arXiv:gr-qc/0409062 · doi:10.1088/0264-9381/21/23/020
Abstract
We present a general form for the solution of an expanding general-relativistic Friedmann universe that encounters a singularity at finite future time. The singularity occurs in the material pressure and acceleration whilst the scale factor, expansion rate and material density remain finite and the strong energy condition holds. We also show that the same phenomenon occurs, but under different conditions, for Friedmann universes in gravity theories arising from the variation of an action that is an arbitrary analytic function of the scalar curvature.
5 pages, no figures
References in corpus (1)
Cited by in corpus (170)
- Dynamics of dark energy
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Properties of singularities in (phantom) dark energy universe
- Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
- Energy conditions in f(R)-gravity
- The Little Rip
- Viscous Cosmology for Early- and Late-Time Universe
- Are loop quantum cosmos never singular?
- A Primer on Energy Conditions
- Geodesic behavior of sudden future singularities
- "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
- Cosmological Evolution of Hessence Dark Energy and Avoidance of the Big Rip
- New Isotropic and Anisotropic Sudden Singularities
- 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
- Viscous dark energy and phantom evolution
- Models for Little Rip Dark Energy
- Cosmological Models in Energy-Momentum-Squared Gravity
- Bouncing cosmology with future singularity from modified gravity
- On the evolution of universes in quadratic theories of gravity
- Cosmo-dynamics and dark energy with non-linear equation of state: a quadratic model
- Inhomogenized sudden future singularities
- Cosmological bouncing solutions in f(T,B) gravity
- Hawking-like radiation from evolving black holes and compact horizonless objects
- Statefinders, higher-order energy conditions and sudden future singularities
- Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
- Noether symmetry approach in phantom quintessence cosmology
- Quantum cosmology with big-brake singularity
- Singular Inflationary Universe from Gravity
- Smooth dynamical (de)-phantomization of a scalar field in simple cosmological models
- Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
- 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
- Correspondence of Gravity Singularities in Jordan and Einstein Frames
- Dark energy transition between quintessence and phantom regimes - an equation of state analysis
- Classical Stability of Sudden and Big Rip Singularities
- Cosmological perturbations in mimetic matter model
- Singular Inflation
- A quantitative analysis of singular inflation with scalar-tensor and modified gravity
- Energy Conditions and Segre Classification of Phantom Fields
- Cosmological dynamics of exponential gravity
- Complete dark energy scenario in gravity
- Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
- Cosmo-dynamics and dark energy with a quadratic EoS: anisotropic models, large-scale perturbations and cosmological singularities
- Theoretical and observational constraints of viable f(R) theories of gravity
- Generalized teleparallel cosmology and initial singularity crossing
- Quantum cosmology and late-time singularities
- General Dynamics of Varying-Alpha Universes
- -cosmological singularities
- A General Sudden Cosmological Singularity
- Accelerating expansion of the universe in modified symmetric teleparallel gravity
- Dark energy: investigation and modeling
- Quantum Particle Production at Sudden Singularities
- Hidden past of dark energy cosmological models
- Sudden singularities survive massive quantum particle production
- Tachyon cosmology, supernovae data and the Big Brake singularity
- Observational constraints on cosmological future singularities
- Soft singularity crossing and transformation of matter properties
- Fine Tuning Free Paradigm of Two Measures Theory: K-Essence, Absence of Initial Singularity of the Curvature and Inflation with Graceful Exit to Zero Cosmological Constant State
- Induced gravity, and minimally and conformally coupled scalar fields in Bianchi-I cosmological models
- Quasi-Rip: A New Type of Rip Model without Cosmic Doomsday
- Phase space analysis and singularity classification for linearly interacting dark energy models
- Constraints on Singular Evolution from Gravitational Baryogenesis
- Geodesics at Sudden Singularities
- The Dominant Balance at Cosmological Singularities
- Phantom evolving wormholes with big rip singularities
- The paradox of soft singularity crossing and its resolution by distributional cosmological quantitities
- Duality extended Chaplygin cosmologies with a big rip
- Absence of the Fifth Force Problem in a Model with Spontaneously Broken Dilatation Symmetry
- Cosmological singularities in interacting dark energy models with an parametrization
- Effects of Quantized Scalar Fields in Cosmological Spacetimes with Big Rip Singularities
- Recent advances in cosmological singularities
- Exploring late-time cosmic acceleration: A study of a linear cosmological model using observational data
- Gauss-Bonnet Cosmology Unifying Late and Early-time Acceleration Eras with Intermediate Eras
- Will the tachyonic Universe survive the Big Brake?
- Is the accelerated expansion evidence of a forthcoming change of signature on the brane?
- Phantom Inflation in Little Rip
- Stability of accelerating cosmology in two scalar-tensor theory: Little Rip versus de Sitter
- Grand Rip and Grand Bang/Crunch cosmological singularities
- Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
- Future singularities if the universe underwent Starobinsky inflation in the past
- Redshift drift in a pressure-gradient cosmology
- Cosmological model involving an interacting van der Waals fluid
- Finite Action Principle Revisited
- Fixed points and FLRW cosmologies: Flat case
- Classical and quantum Big Brake cosmology for scalar field and tachyonic models
- Constraints on anisotropic properties of the universe in gravity theory
- Future singularity avoidance in phantom dark energy models
- Bianchi-I cosmological model and crossing singularities
- Singular deformations of nearly inflation potentials
- Exploring Universe acceleration through observational constraints via Hubble parameter reconstruction
- Loop Quantum Cosmology Corrected Gauss-Bonnet Singular Cosmology
- Maximum Force in Modified Gravity Theories
- Cosmological evolution with quadratic gravity and nonideal fluids
- Sudden singularities in generalized hybrid metric-Palatini cosmologies
- Cosmological milestones and energy conditions
- Gradient expansion(s) and dark energy
- Existence of New Singularities in Einstein-Aether Theory
- A thermodynamic characterization of future singularities?
- A critical assessment of some inhomogeneous pressure Stephani models
- Brane-like singularities with no brane
- Primordial brusque bounce in Born-Infeld determinantal gravity
- New Singularities in Unexpected Places
- Future state of the Universe
- Homogeneous and isotropic big rips?
- Singular Accelerated Evolution in Massive Bigravity
- Initial directional singularity in inflationary models
- Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
- Maximum Force for Black Holes and Buchdahl Stars
- The classical and quantum fate of the Little Sibling of the Big Rip in cosmology
- On finite time singularities in scalar field dark energy models based in the RS-II Braneworld
- Big Bang Singularity Resolution In Quantum Cosmology
- Combined cosmological tests of a bivalent tachyonic dark energy scalar field model
- Weyl Anomaly and Initial Singularity Crossing
- Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
- Stable phantom-divide crossing in two scalar models with matter
- On the Expanding Phase of a Singular Bounce and Intermediate Inflation: The Modified Gravity Description
- Redshift drift test of exotic singularity universes
- The little rip in classical and quantum cosmology
- Polynomial Palatini cosmology -- dynamical system approach
- Classical and quantum cosmology: The big rip, the little rip and the little sibling of the big rip
- Shear-free Anisotropic Cosmological Models in f(R) Gravity
- Revisiting the Evolving Lorentzian Wormhole: a General Perspective
- Geodesic Behaviour around Cosmological Milestones
- Testing a dissipative kinetic k-essence model
- Phantom attractors in Kinetic Gravity Braiding theories: a dynamical system approach
- New futures for cosmological models
- Effects of a Late Gravitational Transition on Gravitational Waves and Anticipated Constraints
- A regular metric does not ensure the regularity of spacetime
- Qualitative study in Loop Quantum Cosmology
- Is interacting vacuum viable?
- The Generic Sudden Singularity in Brans-Dicke Theory
- Type IV singular bouncing cosmology from Gravity
- Non-exotic conformal structure of weak exotic singularities
- Sudden Future Singularities in Quintessence and Scalar-Tensor Quintessence Models
- Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
- New Anisotropic Sudden Singularities and Dimensional Reduction
- Is a pole type singularity an alternative to inflation?
- Regular Friedmann Universes and Matter Transformations
- Cosmological Singularities in Conformal Weyl Gravity
- Structure of infinity in cosmology
- Future soft singularities, Born-Infeld-like fields and particles
- Cosmological future singularities in massive gravity and massive bigravity
- The Cosmological Models with Jump Discontinuities
- Asymptotic solutions in f(R)-gravity
- Equation of state and singularities in FLRW cosmological models
- Evolution of Universe as a Homogeneous System : Changes of Scale Factors with Different Dark Energy EoS-s
- Singularities in inflationary cosmological models
- "All that matter ... in one Big Bang ...," & other cosmological singularities
- Modern Approaches to Cosmological Singularities
- Cosmological singularities in non-canonical models of dark energy
- Sudden cosmological singularities in Aether scalar-tensor theories
- Finite scale factor and future singularities
- Revisiting Holographic Dark Energy in Cyclic Cosmology
- The Osgood Criterion and Finite-Time Cosmological Singularities
- Remarks on inhomogeneous anisotropic cosmology
- Parameterization and Reconstruction of Quasi Static Universe
- Sudden Shock Waves in modified gravity
- Observational Imprints of Our Lost Twin Anti-Universe
- Cosmic anisotropic doomsday in Bianchi type I universes
- Cosmological Singularities in Brane Gravity
- The Two-Measure Theory and an Overview of Some of its Manifestations
- Cosmological sudden singularities in gravity
- Finite time pseudo-rip singularity in cosmology
- Criticality and Big Brake singularities in the tachyonic evolutions of closed Friedmann universes with cold dark matter
- Cosmology of fractional gravity
- Gauss-Bonnet Gravity and Spacetime Singularities