Grand Rip and Grand Bang/Crunch cosmological singularities

Abstract

The present accelerated expansion of the universe has enriched the list of possible scenarios for its fate, singular or not. In this paper a unifying framework for analyzing such behaviors is proposed, based on generalized power and asymptotic expansions of the barotropic index $w$, or equivalently of the deceleration parameter $q$, in terms of the time coordinate. Besides well known singular and non-singular future behaviors, other types of strong singularities appear around the phantom divide in flat models, with features similar to those of big rip or big bang/crunch, which we have dubbed grand rip and grand bang/crunch respectively, since energy density and pressure diverge faster than $t^{-2}$ in coordinate time. In addition to this, the scale factor does not admit convergent generalized power series around these singularities with a finite number of terms with negative powers.

19 pages, 2 figures. Typos amended

References in corpus (21)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Reconstructing Dark Energy
• Dark Energy and Gravity
• Dark Energy and Dark Gravity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Are loop quantum cosmos never singular?
• Worse than a big rip?
• Classification of cosmological milestones
• A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
• Dark Energy: Mystery of the Millennium
• Barotropic index w-singularities in cosmology
• Classical Stability of Sudden and Big Rip Singularities
• Singular fate of the universe in modified theories of gravity
• $w$-cosmological singularities
• A General Sudden Cosmological Singularity
• Hidden past of dark energy cosmological models
• Dark Energy from Brane-world Gravity
• Generalized strong curvature singularities and weak cosmic censorship in cosmological space-times

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