Modified Chaplygin gas in anisotropic universes on the brane

International Journal of Modern Physics D ◽

10.1142/s0218271821500930 ◽

2021 ◽

pp. 2150093

Author(s):

Saibal Ray ◽

Prasenjit Paul ◽

Rikpratik Sengupta ◽

Neeraj Pant ◽

Riju Nag

Keyword(s):

Correction Term ◽

High Energy ◽

Chaplygin Gas ◽

Modified Chaplygin Gas ◽

Bianchi I ◽

Cosmological Solutions ◽

Braneworld Model

In this paper, we study anisotropic universes with Modified Chaplygin gas (MCG) in the context of Randall Sundrum-2 (RS2) braneworld model. The cosmological solutions for Kantowski–Sachs (KS) and Bianchi-I universes with MCG are obtained on the RS2 braneworld. The solutions are found to be dependent on MCG parameters but are modified from the GR solutions due to the braneworld correction term arising from high-energy effects. The anisotropy and deceleration parameters are obtained for each solution and the possibility of occurrence of future singularities is considered. Interestingly, we find that one drawback of the relativistic picture can be overcome in this model giving a universe close to the presently observed state.

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COSMOLOGICAL SOLUTION IN THE BRANE WITH GAUSS–BONNET GRAVITY IN THE BULK

Modern Physics Letters A ◽

10.1142/s0217732309030321 ◽

2009 ◽

Vol 24 (24) ◽

pp. 1915-1923 ◽

Cited By ~ 1

Author(s):

SUBENOY CHAKRABORTY ◽

TANWI BANDYOPADHYAY

Keyword(s):

Equation Of State ◽

Coupling Parameter ◽

Cosmological Solution ◽

Chaplygin Gas ◽

Modified Chaplygin Gas ◽

Bonnet Gravity ◽

Cosmological Solutions ◽

Barotropic Equation ◽

Five Dimension ◽

The One

The paper deals with Gauss–Bonnet gravity in five dimension without a Cosmological Constant and the coupling parameter is taken to be negative. Cosmological solutions are obtained for both bulk and the brane. The matter in the brane is chosen in the form of perfect fluid with barotropic equation of state (except the one with Modified Chaplygin Gas, which is not solvable) and the solutions are consistent with the recent observations.

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On Chaplygin Gas Braneworld Inflation with Monomial Potential

Advances in High Energy Physics ◽

10.1155/2018/2958605 ◽

2018 ◽

Vol 2018 ◽

pp. 1-9 ◽

Cited By ~ 2

Author(s):

A. Safsafi ◽

I. Khay ◽

F. Salamate ◽

H. Chakir ◽

M. Bennai

Keyword(s):

High Energy ◽

Chaplygin Gas ◽

Type Ii ◽

Energy Limit ◽

Generalized Chaplygin Gas ◽

Planck Data ◽

Central Value ◽

Braneworld Model ◽

Perturbation Parameters ◽

Braneworld Inflation

We study the Chaplygin gas model as a candidate for inflation in the framework of the Randall-Sundrum type II braneworld model. We consider the original and generalized Chaplygin gas model in the presence of monomial potential. The inflationary spectrum perturbation parameters are reformulated and evaluated in the high-energy limit and we found that they depend on several parameters. We also showed that these perturbation parameters are widely compatible with the recent Planck data for a particular choice of the parameters space of the model. A suitable observational central value of ns≃0.965 is also obtained in the case of original and generalized Chaplygin gas.

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Dynamical system analysis of FLRW models with Modified Chaplygin gas

Scientific Reports ◽

10.1038/s41598-020-80396-w ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Ali Osman Yılmaz ◽

Ertan Güdekli

Keyword(s):

Dynamical System ◽

Equation Of State ◽

Energy Density ◽

System Analysis ◽

Chaplygin Gas ◽

Modified Chaplygin Gas ◽

State Spaces ◽

The Universe ◽

Matter Energy ◽

Far Future

AbstractWe investigate Friedmann–Lamaitre–Robertson–Walker (FLRW) models with modified Chaplygin gas and cosmological constant, using dynamical system methods. We assume $$p=(\gamma -1)\mu -\dfrac{A}{\mu ^\alpha }$$ p = ( γ - 1 ) μ - A μ α as equation of state where $$\mu$$ μ is the matter-energy density, p is the pressure, $$\alpha$$ α is a parameter which can take on values $$0<\alpha \le 1$$ 0 < α ≤ 1 as well as A and $$\gamma$$ γ are positive constants. We draw the state spaces and analyze the nature of the singularity at the beginning, as well as the fate of the universe in the far future. In particular, we address the question whether there is a solution which is stable for all the cases.

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