A General Sudden Cosmological Singularity

Abstract

We construct an asymptotic series for a general solution of the Einstein equations near a sudden singularity. The solution is quasi isotropic and contains nine independent arbitrary functions of the space coordinates as required by the structure of the initial value problem.

15 pages, matches published version

References in corpus (26)

• Dynamics of dark energy
• Properties of singularities in (phantom) dark energy universe
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• The final state and thermodynamics of dark energy universe
• Sudden Future Singularities
• Tachyons, Scalar Fields and Cosmology
• Quantum escape of sudden future singularity
• More General Sudden Singularities
• Geodesic behavior of sudden future singularities
• "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
• New Cosmological Singularities in Braneworld Models
• New Isotropic and Anisotropic Sudden Singularities
• Classification of cosmological milestones
• Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
• Asymptotics of solutions of the Einstein equations with positive cosmological constant
• Inhomogenized sudden future singularities
• Statefinders, higher-order energy conditions and sudden future singularities
• Sudden future singularities in FLRW cosmologies
• Classical Stability of Sudden and Big Rip Singularities
• Strings at future singularities
• How far is it to a sudden future singularity of pressure?
• Quantum Particle Production at Sudden Singularities
• Comment about quasi-isotropic solution of Einstein equations near cosmological singularity
• The Dominant Balance at Cosmological Singularities
• Cosmological Singularities and Bel-Robinson Energy
• Quasi-isotropic solution of the Einstein equations near a cosmological singularity for a two-fluid cosmological model

Cited by in corpus (42)

• Bouncing cosmology with future singularity from modified gravity
• Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology
• Exotic singularities and spatially curved Loop Quantum Cosmology
• Singular Inflation
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• Quantum cosmology and late-time singularities
• $w$-cosmological singularities
• Sudden singularities survive massive quantum particle production
• Geodesics at Sudden Singularities
• Grand Rip and Grand Bang/Crunch cosmological singularities
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• Infinity in string cosmology: A review through open problems
• Finite Action Principle Revisited
• Cosmological singularities and analytical solutions in varying vacuum cosmologies
• Singular deformations of nearly $R^2$ inflation potentials
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Bouncing solutions in $f(T)$ gravity
• New Singularities in Unexpected Places
• Primordial brusque bounce in Born-Infeld determinantal gravity
• Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane
• Initial directional singularity in inflationary models
• The regular state in higher-order gravity
• Cosmology: the search for twenty-four (or more) functions
• New futures for cosmological models
• New Classes of Spherically Symmetric, Inhomogeneous Cosmological Models
• The Generic Sudden Singularity in Brans-Dicke Theory
• Sudden Future Singularities in Quintessence and Scalar-Tensor Quintessence Models
• Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields
• Growth rate of matter perturbations as a probe of large-scale magnetism
• New Anisotropic Sudden Singularities and Dimensional Reduction
• Structure of infinity in cosmology
• The Cosmological Models with Jump Discontinuities
• Strength of the singularities, equation of state and asymptotic expansion
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Sudden cosmological singularities in Aether scalar-tensor theories
• Singularities in inflationary cosmological models
• Superposition of FLRW Universes
• The Osgood Criterion and Finite-Time Cosmological Singularities
• Finite scale factor and future singularities
• Late time solutions for inhomogeneous Lambda-CDM cosmology, their characterization and observation
• Sudden Shock Waves in modified gravity
• Cosmic anisotropic doomsday in Bianchi type I universes