Variable Modified Chaplygin Gas in Anisotropic Universe with Kaluza-Klein Metric

Abstract

In this work, we have consider Kaluza-Klein Cosmology for anisotropic universe where the universe is filled with variable modified chaplygin gas (VMCG). Here we find normal scalar field φ and the self interacting potential V (φ) to describe the VMCG Cosmology. Also we graphically analyzed the geometrical parameters named statefinder parameters in anisotropic Kaluza-Klein model. Next, we consider a Kaluza-Klein model of interacting VMCG with dark matter in the Einstein gravity framework. Here we construct the three dimensional autonomous dynamical system of equations for this interacting model with the assumption that the dark energy and the dark matter are interact between them and for that we also choose the interaction term. We convert that interaction terms to its dimensionless form and perform stability analysis and solve them numerically. We obtain a stable scaling solution of the equations in Kaluza-Klein model and graphically represent solutions.

Observational constraints on the extended Chaplygin gas inflation

“…There is also a class of equations of state that interpolate between standard fluids at high energy densities and generalized Chaplygin gas fluids at low energy densities which is called the modified Chaplygin gas (Benaoum 2002). This model is subject of some brane world scenario Ranjit et al 2013aRanjit et al , 2013b, and holographic model of dark energy (Farooq et al 2010;Paul 2010;Sadeghi et al 2014a). Viscous modified Chaplygin gas also introduced by Pun et al (2008) and completed by the recent works (Pourhassan 2013;Saadat and Pourhassan 2013b;Benaoum 2014).…”

“…In order to obtain more suitable evolution of the universe, an interaction is often assumed, so there are several works about interacting modified Chaplygin gas (Chattopadhyay and Debnath 2010; Jamil and Debnath 2011; Khurshudyan et al 2014a). Similar to the generalized Chaplygin gas, it is possible to reconsider constant parameters B in the equation of state as variable (Chakraborty and Debnath 2010;Bhadra and Debnath 2012a, 2012b, 2012cDeng 2011;Ranjit et al 2013aRanjit et al , 2013b.…”

Some cosmological solutions in Einstein-Chern-Simons gravity

“…where 0 < γ < 1 and β > 0 [16][17][18][19][20][21][22][23][24][25]. The matter field will be modeled as a fluid whose state equation with variable parameter, is given by equation (34).…”

“…Now consider the case where the field h a can be a variable modified Chaplygin Gas [16][17][18][19][20][21][22][23][24][25] modelling dark energy, in an analogous manner as it occurs in 4-dimensional standard cosmology. The corresponding state equation is given by…”

LRS Bianchi type-V universe with variable modified Chaplygin gas in a scalar–tensor theory of gravitation

“…Bhadra and Debnath [27] have studied accretion of new variable modified Chaplygin gas and generalized cosmic Chaplygin gas onto Schwarzschild and KerrNewman black holes. Ranjit et al [28] have discussed variable modified Chaplygin gas in anisotropic Universe with Kaluza-Klein metric. Samanta [29] has investigated Universe described by variable modified Chaplygin gas with statefinder diagnostic in general relativity.…”