We investigate the quantum evolution of the metric operators for Bianchi-Type I model universes in the Heisenberg picture in order to remove the need to consider the wave function of the universe and interpret its ”spin” variables. The calculation is analogous to that of the Zitterbewegung of the Dirac electron. We consider the behavior of the metric near the classical singularity, and consider...

In cosmological group field theory (GFT) models for quantum gravity coupled to a massless scalar the total volume, seen as function of field, follows classical Friedmann dynamics flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) Universe at low energies while resolving Big Bang singularity high energies. An open question is how generalise these results other homogeneous cosmologies. Here we tak...

In this paper, Dirac’s equation in anisotropic Bianchi-type-I background spacetimes is treated with respect to orthonormal frames. By specializing the massless spinor case and metrics power-law scale factors planar symmetry, an analytical expression of approximate time evolution operator (TEO) derived. use operator, all solutions can be generated. construction, these agree asymptotically at ear...

In this paper we investigate expanding Bianchi type I models with two tilted fluids with the same linear equation of state, characterized by the equation of state parameter w. Individually the fluids have non-zero energy fluxes w.r.t. the symmetry surfaces, but these cancel each other because of the Codazzi constraint. We prove that when w = 0 the model isotropizes to the future. Using numerica...

Bianchi type I magnetized cosmological models in the presence of a bulk viscous fluid are investigated. The source of the magnetic field is due to an electric current produced along x-axis. The distribution consists of an electrically neutral viscous fluid with an infinite electrical conductivity. The coefficient of bulk viscosity is assumed to be a power function of mass density. The cosmologi...

Abstract We study a class of homogeneous and anisotropic geometries with affine equation state (EoS) for different physically plausible scenarios the universe evolution using dynamical system technique. analyze locally rotationally symmetric Bianchi I (LRS BI), III BIII) V BV) geometry exhibition effects EoS in model. The model exhibits stable attractor which is also isotropic thus, it may expl...