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

H. Štefančić

doi:10.1103/physrevd.71.084024

QUINTESSENTIAL INFLATION FROM 5D WARPED PRODUCT SPACES ON A DYNAMICAL FOLIATION

Modern Physics Letters A ◽

10.1142/s0217732308025747 ◽

2008 ◽

Vol 23 (16) ◽

pp. 1213-1221 ◽

Cited By ~ 4

Author(s):

LUCIO FABIO P. DA SILVA ◽

JOSÉ EDGAR MADRIZ AGUILAR

Keyword(s):

Scalar Field ◽

Equation Of State ◽

Warped Product ◽

Scalar Potential ◽

Accelerated Expansion ◽

Vacuum Equation ◽

Product Spaces ◽

Inflationary Scenario ◽

Warped Product Spaces ◽

The Universe

Assuming the existence of a 5D purely kinetic scalar field on the class of warped product spaces we investigate the possibility of mimic both an inflationary and a quintessential scenarios on 4D hypersurfaces, by implementing a dynamical foliation on the fifth coordinate instead of a constant one. We obtain that an induced chaotic inflationary scenario with a geometrically induced scalar potential and an induced quasi-vacuum equation of state on 4D dynamical hypersurfaces is possible. While on a constant foliation, the universe can be considered as matter-dominated today, in a family of 4D dynamical hypersurfaces, the universe can be passing period of accelerated expansion with a deceleration parameter nearly -1. This effect of the dynamical foliation results negligible at the inflationary epoch allowing for a chaotic inflationary scenario and becomes considerable at the present epoch allowing a quintessential scenario.

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ASYMPTOTICS OF LINEARIZED COSMOLOGICAL PERTURBATIONS

Journal of Hyperbolic Differential Equations ◽

10.1142/s0219891610002141 ◽

2010 ◽

Vol 07 (02) ◽

pp. 255-277 ◽

Cited By ~ 5

Author(s):

PAUL T. ALLEN ◽

ALAN D. RENDALL

Keyword(s):

Asymptotic Behavior ◽

Asymptotic Expansion ◽

Equation Of State ◽

Euler Equations ◽

Equations Of State ◽

Late Time ◽

Linear Hyperbolic Equation ◽

Main Equation ◽

Time Asymptotic Behavior ◽

Scalar Perturbations

In cosmology an important role is played by homogeneous and isotropic solutions of the Einstein–Euler equations and linearized perturbations of these. This paper proves results on the asymptotic behavior of scalar perturbations both in the approach to the initial singularity of the background model and at late times. The main equation of interest is a linear hyperbolic equation whose coefficients depend only on time. Expansions for the solutions are obtained in both asymptotic regimes. In both cases, it is shown how general solutions with a linear equation of state can be parametrized by certain functions which are coefficients in the asymptotic expansion. For some nonlinear equations of state, it is found that the late-time asymptotic behavior is qualitatively different from that in the linear case.

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NUMERICAL SIMULATION OF THE EQUATION OF STATE FOR HADRONIC MATTER WITHIN THE STRING MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x89000212 ◽

1989 ◽

Vol 04 (02) ◽

pp. 437-449 ◽

Cited By ~ 9

Author(s):

K. SAILER ◽

B. MÜLLER ◽

W. GREINER

Keyword(s):

Numerical Simulation ◽

Asymptotic Behavior ◽

Mass Spectrum ◽

Equation Of State ◽

Bosonic Strings ◽

String Model ◽

Ideal Gas ◽

Hadronic Matter ◽

Hadronic Resonances ◽

The Ideal

The mass spectrum of classical open bosonic strings and the equation of state of their ideal gas has been found by means of numerical simulation. The mass spectrum obtained has an exponential asymptotic behavior and is in good qualitative agreement with the experimental data on hadronic resonances. It has been established that the temperature of the ideal gas of classical open bosonic strings cannot exceed a maximal value determined by the asymptotic behavior of the mass spectrum.

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The Quark-Gluon Plasma Equation of State and the Generalized Uncertainty Principle

Advances in High Energy Physics ◽

10.1155/2015/103576 ◽

2015 ◽

Vol 2015 ◽

pp. 1-7 ◽

Cited By ~ 2

Author(s):

L. I. Abou-Salem ◽

N. M. El Naggar ◽

I. A. Elmashad

Keyword(s):

Asymptotic Behavior ◽

Equation Of State ◽

Energy Density ◽

Uncertainty Principle ◽

Quark Gluon Plasma ◽

Chemical Potential ◽

Generalized Uncertainty Principle ◽

Gluon Plasma ◽

Minimal Length ◽

Interaction Measure

The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a vanishing chemical potential. We find a significant effect for the GUP term. The main features of QCD lattice results were quantitatively achieved in case ofnf=0,nf=2, andnf=2+1flavors for the energy density, the pressure, and the interaction measure. The exciting point is the large value of bag pressure especially in case ofnf=2+1flavor which reflects the strong correlation between quarks in this bag which is already expected. One can notice that the asymptotic behavior which is characterized by Stephan-Boltzmann limit would be satisfied.

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