2013/04/30 by Ikjyot Singh Kohli, Michael C. Haslam · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Exact solutions in general relativity #Friedmann–Lemaître–Robertson–Walker metric #Homogeneous #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamics #Mathematical physics #Mechanics #Physics #Quantum mechanics #Solar and Space Plasma Dynamics #Thermodynamics #Type (biology) #Universe #Viscosity #Viscous liquid #Volume viscosity #gr-qc #math.DS
paper · pdf · doi:10.1103/physrevd.88.063518
published as Phys. Rev. D 88, 063518 (2013)
openalex publication_date 2013/09/17 · arxiv created 2014/02/24 · arxiv updated 2014/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use the expansion-normalized variables approach to study the dynamics of a nontilted Bianchi type I cosmological model with both a homogeneous magnetic field and a viscous fluid. In our model the perfect magnetohydrodynamic approximation is made, and both bulk and shear viscous effects are retained. The dynamical system is studied in detail through a fixed-point analysis which determines the local sink and source behavior of the system. We show that the fixed points may be associated with Kasner-type solutions, a flat universe Friedmann-LeMa\\itre-Robertson-Walker solution, and interestingly, a new solution to the Einstein field equations involving nonzero magnetic fields and nonzero viscous coefficients. It is further shown that for certain values of the bulk and shear viscosity and equation of state parameters, the model isotropizes at late times.