FRW Viscous Dark Fluid with Non-linear Inhomogeneous Equation of State
DOI:
https://doi.org/10.26713/cma.v12i4.1598Keywords:
Dark energy, Viscous fluid, Non-linear equation of stateAbstract
In this paper, we considered a bulk viscosity described by non-linear inhomogeneous equation of state of the type \(p=\omega(\rho)+f(\rho)+\Lambda(H)\), where \(\omega(\rho)=b_{0}\rho^{\delta-1}-1\), \(f(\rho)=A \rho^{\alpha}\) and \(\Lambda(H)= \Lambda_{0}H\). We assume the bulk viscosity as a linear combination of two terms of the form \(\zeta=\zeta_{0}+\zeta_{1}H\) i.e. one is constant and the other is proportional to Hubble parameter \(H\). In the first part of the paper we find the solution of the field equations in terms of time-dependent dark energy density \(\rho\), Hubble parameter \(H\), scale factor \(a\) and also obtain the transition from non-phantom era to the phantom era by using exponential function method. In the second part of the paper, we again find the solutions of the field equations by using the simple integration method and again obtain \(\rho\), \(H\), and \(a\) for the particular case. Finally, we discuss the stability of the model.
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I. Brevik, E. Elizalde, O. G. Gorbunova and A. V. Timoshkin, A FRW dark fluid with a nonlinear inhomogeneous equation of state, The European Physical Journal C 52 (2007), 223, DOI: 10.1140/epjc/s10052-007-0357-9.
D. D. Ganji and S. H. H. Kachapi, Analysis of nonlinear equations in fluids, Progress in Nonlinear Science 2 (2011), 1 – 293.
G. S. Khadekar and D. Raut, FRW viscous fluid cosmological model with time-dependent inhomogeneous equation of state, International Journal of Geometric Methods in Modern Physics 15 (2018), 1830001, DOI: 10.1142/S0219887818300015.
G. S. Khadekar and R. Talole, Inhomogeneous viscous fluid cosmological model of the universe with effective equation of state and scalar field, International Journal of Geometric Methods in Modern Physics 15 (2018), 1850078, DOI: 10.1142/S0219887818500780.
G. S. Khadekar, D. Raut and V. G. Miskin, FRW viscous cosmology with inhomogeneous equation of state and future singularity, Modern Physics Letter A 30 (2015), 1550144, DOI: 10.1142/S0217732315501448.
S. Myrzakul, R. Myrzakul and L. Sebastiani, Inhomogeneous viscous fluids in FRW universe and finite-future time singularities, Astrophysics and Space Science 350 (2014), 845 – 853, DOI: 10.1007/s10509-014-1799-9.
L. Miao, L. Xiao-Dong, W. Shuang and W. Yi, Dark energy, Communications in Theoretical Physics 56 (2011), 525, DOI: 10.1088/0253-6102/56/3/24.
S. Nojiri and S. D. Odintsov, Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models, Physics Reports 505 (2011), 59 – 144, DOI: 10.1016/j.physrep.2011.04.001.
S. Nojiri and S. D. Odintsov, The new form of equation of state for dark energy fluid and accelerating universe, Physics Letter B 639 (2006), 59 – 144, DOI: 10.1016/j.physletb.2006.06.065.
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