Anisotropic solutions in f(R) Gravity

TL;DR

This paper explores anisotropic cosmological models within f(R) gravity, constructing two accelerating solutions and analyzing their stability to assess their viability in describing the universe's expansion.

Contribution

It introduces two new anisotropic f(R) gravity models with accelerating solutions and evaluates their stability, advancing understanding of anisotropic cosmic evolution in modified gravity.

Findings

Two accelerating anisotropic models constructed.

Models pass stability analysis, indicating viability.

Provides insights into anisotropic universe dynamics in f(R) gravity.

Abstract

Anisotropic cosmological models are investigated in the frame work of $f(R)$ gravity in the metric formalism. Plane symmetric models are considered to incorporate anisotropy in the expansion rates along different spatial directions. The anisotropy in expansion rates are assumed to be maintained throughout the cosmic evolution. Two accelerating models are constructed by considering different functional forms for f(R). The viability of these models are tested through a stability analysis.