de Sitter expansion with anisotropic fluid in Bianchi type-I space-time

TL;DR

This paper explores de Sitter expansion in Bianchi type-I universes with anisotropic fluids, introducing models with time-dependent and constant energy densities and directional EoS parameters, expanding understanding of anisotropic cosmological solutions.

Contribution

It presents new anisotropic Bianchi type-I models exhibiting de Sitter expansion with variable directional EoS parameters and energy densities, extending previous isotropic and anisotropic cosmological models.

Findings

Models exhibit de Sitter volumetric expansion due to constant effective energy density.

Directional EoS parameters can be functions of time, allowing anisotropic evolution.

Introduction of models with minimal modifications to vacuum energy for anisotropic expansion.

Abstract

Some features of the Bianchi type-I universes in the presence of a fluid that wields an anisotropic equation of state (EoS) parameter are discussed in the context of general relativity. The models that exhibit de Sitter volumetric expansion due to the constant effective energy density (the sum of the energy density of the fluid and the anisotropy energy density) are of particular interest. We also introduce two locally rotationally symmetric models, which exhibit de Sitter volumetric expansion in the presence of a hypothetical fluid that has been obtained by minimally altering the conventional vacuum energy. In the first model, the directional EoS parameter on the x axis is assumed to be -1, while the ones on the other axes and the energy density of the fluid are allowed to be functions of time. In the second model, the energy density of the fluid is assumed to be constant, while the directional EoS parameters are allowed to be functions of time.