Anisotropic Born-Infeld-f(R) Cosmologies

TL;DR

This paper explores anisotropic cosmological solutions in Born-Infeld-f(R) gravity, analyzing their evolution and singularities, and introduces a reconstruction scheme to understand how modifications to general relativity affect cosmic dynamics.

Contribution

It introduces a reconstruction scheme for anisotropic Bianchi type-I solutions in Born-Infeld-f(R) gravity, revealing new insights into cosmic evolution and singularity behavior.

Findings

Analyzed Bianchi type-I solutions in Born-Infeld-f(R) gravity.

Explored various cosmic evolution scenarios including inflation and Big Rip.

Demonstrated the impact of auxiliary metric behavior on cosmic dynamics.

Abstract

In this paper, we investigate anisotropic cosmological solutions within the framework of Born-Infeld-f(R) gravity, a modification of general relativity that incorporates higher-order curvature invariants. Specifically, we focus on the analysis of Bianchi type-I solutions, which provide a valuable framework for studying the evolution of spatial anisotropies in cosmology. By introducing a reconstruction scheme for this model, we explore the behavior of these solutions, analyze various cosmic evolution scenarios, including Starobinsky inflation, de Sitter-like expansion, power-law dynamics, and Big Rip-like evolution. Additionally, we examine the exponential and power-law behavior of the auxiliary metric function to illustrate its impact on the dynamics of cosmic evolution. Our analysis elucidates how the modifications introduced by Born-Infeld-f(R) gravity influence anisotropic dynamics, offering new perspectives on the late-time behavior of the universe and potential future singularities.