The Dominant Balance at Cosmological Singularities

Abstract

We define the notion of a finite-time singularity of a vector field and then discuss a technique suitable for the asymptotic analysis of vector fields and their integral curves in the neighborhood of such a singularity. Having in mind the application of this method to cosmology, we also provide an analysis of the time singularities of an isotropic universe filled with a perfect fluid in general relativity.

arXiv comment13 pages, to appear in the Proceedings of the Greek Relativity Meeting NEB12, June 29-July 2, 2006, Nauplia, Greece

References in corpus (16)

• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Sudden Future Singularities
• The Cosmological Constant Problem and Quintessence
• Tachyons, Scalar Fields and Cosmology
• Quantum escape of sudden future singularity
• Phantom cosmologies
• Constructing Phantom Cosmologies from Standard Scalar Field Universes
• K-Essential Phantom Energy: Doomsday around the corner?
• More General Sudden Singularities
• New Isotropic and Anisotropic Sudden Singularities
• Slow-roll parameters in braneworld cosmologies
• Global Hyperbolicity and Completeness
• Future Singularities of Isotropic Cosmologies
• Ghosts in a Mirror
• A note on the Casimir energy of a massive scalar field in positive curvature space

Cited by in corpus (27)

• Are loop quantum cosmos never singular?
• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Exotic singularities and spatially curved Loop Quantum Cosmology
• A General Sudden Cosmological Singularity
• A Study of Finite-time Singularities of Loop Quantum Cosmology Interacting Multifluids
• Phase space analysis and singularity classification for linearly interacting dark energy models
• Recent advances in cosmological singularities
• Interior of Distorted Black Holes
• Infinity in string cosmology: A review through open problems
• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• Flat limits of curved interacting cosmic fluids
• Distorted 5-dimensional vacuum black hole
• Asymptotics of flat, radiation universes in quadratic gravity
• Cosmological evolution with quadratic gravity and nonideal fluids
• The initial state of generalized radiation universes
• Singularities in cosmologies with interacting fluids
• Asymptotic vacua with higher derivatives
• On finite time singularities in scalar field dark energy models based in the RS-II Braneworld
• Brane singularities with mixtures in the bulk
• Is interacting vacuum viable?
• The Generic Sudden Singularity in Brans-Dicke Theory
• Structure of infinity in cosmology
• Asymptotic Poincaré compactification and finite-time singularities
• Interacting vacuum at infinity
• Asymptotic analysis of varying light speed cosmologies
• Localizing branes with bifurcating bulks
• Quasi-isotropic Asymptotic Expansions in Varying Speed of Light Cosmologies