Sudden future singularities in FLRW cosmologies

Abstract

The standard energy conditions of classical general relativity are applied to FLRW cosmologies containing sudden future singularities. Here we show, in a model independent way, that although such cosmologies can satisfy the null, weak and strong energy conditions, they always fail to satisfy the dominant energy condition. They require a divergent spacelike energy flux in all but the comoving frame.

arXiv commentrevtex4. Added references and a definition. To appear in CQG

References in corpus (5)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological Constant - the Weight of the Vacuum
• Sudden Future Singularities

Cited by in corpus (67)

• 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
• Are loop quantum cosmos never singular?
• The stability of modified gravity models
• Geodesic behavior of sudden future singularities
• "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
• 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
• Bouncing cosmology with future singularity from modified gravity
• Phantom cosmology with general potentials
• Inhomogenized sudden future singularities
• Statefinders, higher-order energy conditions and sudden future singularities
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Singular Inflationary Universe from $F(R)$ Gravity
• Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
• Exotic singularities and spatially curved Loop Quantum Cosmology
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• Dark energy transition between quintessence and phantom regimes - an equation of state analysis
• Inflation in a viscous fluid model
• Classical Stability of Sudden and Big Rip Singularities
• Cosmological apparent and trapping horizons
• Future Singularities of Isotropic Cosmologies
• Singular Inflation
• Strings at future singularities
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• Making sense of the bizarre behaviour of horizons in the McVittie spacetime
• Quantum cosmology and late-time singularities
• $w$-cosmological singularities
• A General Sudden Cosmological Singularity
• Quantum Particle Production at Sudden Singularities
• Hidden past of dark energy cosmological models
• Sudden singularities survive massive quantum particle production
• Geodesics at Sudden Singularities
• Duality extended Chaplygin cosmologies with a big rip
• Grand Rip and Grand Bang/Crunch cosmological singularities
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• Reconstructing the History of Energy Condition Violation from Observational Data
• Singular deformations of nearly $R^2$ inflation potentials
• Cosmological milestones and energy conditions
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Future state of the Universe
• Initial directional singularity in inflationary models
• Singular Accelerated Evolution in Massive $F(R)$ Bigravity
• On the Expanding Phase of a Singular Bounce and Intermediate Inflation: The Modified Gravity Description
• The little rip in classical and quantum $f(R)$ cosmology
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Entanglement inside the cosmological apparent horizon
• Geodesic Behaviour around Cosmological Milestones
• New futures for cosmological models
• New Classes of Spherically Symmetric, Inhomogeneous Cosmological Models
• Non-exotic conformal structure of weak exotic singularities
• Quantum fields near phantom-energy `sudden' singularities
• Cosmological Singularities in Conformal Weyl Gravity
• Cosmological future singularities in massive gravity and massive bigravity
• Future soft singularities, Born-Infeld-like fields and particles
• Equation of state and singularities in FLRW cosmological models
• Singularities in inflationary cosmological models
• The Osgood Criterion and Finite-Time Cosmological Singularities
• Superposition of FLRW Universes
• Cosmic anisotropic doomsday in Bianchi type I universes
• Cosmological Singularities in Brane Gravity