# Scale Factors of Homogeneous Anisotropic Cosmological Models with Perfect Fluid

## TL;DR

This paper analyzes homogeneous anisotropic cosmological models with various perfect fluid components, deriving exact solutions for scale factors based on matter properties and kinematic invariants.

## Contribution

It provides new exact solutions for scale factors in multicomponent anisotropic cosmological models considering diverse fluid types and their kinematic effects.

## Key findings

- Derived scale factor dependencies on equation of state and kinematic invariants.
- Analyzed models with phantom matter, strings, and other components.
- Presented exact solutions for Friedmann and Raychaudhuri equations.

## Abstract

The article is devoted to cosmology. It deals with homogeneous anisotropic cosmological models. Scale factors have been evaluated for the multicomponent models with perfect fluid, taking account of its expansion, rotation and shear. The cosmological fluid components are as follows: phantom matter, de Sitter vacuum, domain walls, strings, dust, radiation, perfect gas, stiff matter and ekpyrotic matter. The scale factor dependences on the equation of state and kinematic invariants of the perfect fluid have been analysed. The paper is aimed at finding exact solutions of Friedmann and Raychaudhuri equations for different combination of matter components and kinematic invariants.