Expansion around the vacuum equation of state: Sudden future singularities and asymptotic behavior

2004/11/30 by Hrvoje Štefančić, Hrvoje Stefancic · 1 citation
Mathematics · Physics and Astronomy · #Big Rip #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Divergence (linguistics) #Energy density #Equation of state #Galaxies: Formation, Evolution, Phenomena #Gravitational singularity #Invertible matrix #Mathematical analysis #Mathematical physics #Mathematics #Metric expansion of space #Parametrization (atmospheric modeling) #Physics #Quantum mechanics #Scale factor (cosmology) #Singularity #Theoretical physics #Universe #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.71.084024

published as Phys.Rev.D71:084024,2005 · v1: 8 pages, 8 figures. v2: references added. v3: discussions and references added. Version to appear in Phys. Rev. D

arxiv created 2005/04/04 · openalex publication_date 2005/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The dark energy model with the equation of state p_d=\ensuremath-\ensuremathρ_d\ensuremath-A\ensuremathρ_d^\ensuremathα is studied. The model comprises and provides realization of several types of singularities in different parameter regimes: the divergence of the dark energy density and pressure at finite time and finite value of the scale factor, the singularity of the ``big rip'' type and the sudden future singularity recently introduced by Barrow. For parameter choices which lead to a nonsingular expansion of the universe, various types of the asymptotic evolution are found. The entire time evolution of the universe is described both analytically and numerically. The advantages of this dark energy EOS as a parametrization of dark energy are discussed.

Citations

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Cited by

• Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology