Phase Space Analysis for Anisotropic Universe with Nonlinear Bulk Viscosity

Abstract

In this paper, we discuss the phase space analysis of locally rotationally symmetric Bianchi type I universe model by taking a noninteracting mixture of dust like and viscous radiation like fluid whose viscous pressure satisfies a nonlinear version of the Israel-Stewart transport equation. An autonomous system of equations is established by defining normalized dimensionless variables. In order to investigate the stability of the system, we evaluate corresponding critical points for different values of the parameters. We also compute the power-law scale factor whose behavior indicates different phases of the universe model. It is found that our analysis does not provide a complete immune from fine-tuning because the exponentially expanding solution occurs only for a a particular range of parameters. We conclude that stable solutions exist in the presence of nonlinear model for bulk viscosity with different choices of the constant parameter $m$ for anisotropic universe.

arXiv comment13 pages, 6 figures. arXiv admin note: text overlap with arXiv:1702.04716

References in corpus (29)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological parameters from SDSS and WMAP
• Cosmological Imprint of an Energy Component with General Equation of State
• The Case for a Positive Cosmological Lambda-term
• An alternative to quintessence
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• Exponential potentials and cosmological scaling solutions
• Kinetically Driven Quintessence
• Can the dark energy equation-of-state parameter w be less than -1?
• Cosmological Evolution of a Quintom Model of Dark Energy
• Asymmetries in the CMB anisotropy field
• Tachyons, Scalar Fields and Cosmology
• Extended tachyon field, Chaplygin gas and solvable k-essence cosmologies
• Bulk Viscous Cosmology
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Nonlinear bulk viscosity and inflation
• Dynamics of Bianchi I Universe with Magnetized Anisotropic Dark Energy
• Testing the Isotropy of the Universe with Type Ia Supernovae
• Bulk Viscosity, Decaying Dark Matter, and the Cosmic Acceleration
• Cosmological solutions with nonlinear bulk viscosity
• Anisotropic Universe Models in Brans-Dicke Theory
• Phase-space analysis of a class of k-essence cosmology
• Stability analysis of an autonomous system in loop quantum cosmology
• Nonlinear bulk viscosity and the stability of accelerated expansion in FRW spacetime
• Bianchi type II models in the presence of perfect fluid and anisotropic dark energy
• Stability of Accelerated Expansion in Nonlinear Electrodynamics