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<p>In this paper, we have put forwarded a detailed investigation on the cosmic evolution of Bianchi type III model within the realm of Born-Infeld <i>f</i>(<i>R</i>) gravity executing the Palatini approach. Using a very eminent tool known as Dynamical System Approach (DSA), we have curtailed the complexity of the non linear field equations and study the dynamics for the form <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10714_2024_3346_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="134" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(R) =R-\beta / R^n\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mrow> <mo stretchy="false">(</mo> <mi>R</mi> <mo stretchy="false">)</mo> </mrow> <mo>=</mo> <mi>R</mi> <mo>-</mo> <mi>β</mi> <mo stretchy="false">/</mo> <msup> <mi>R</mi> <mi>n</mi> </msup> </mrow> </math></EquationSource> </InlineEquation>. The main focus of our work is to retrieve the sequence of cosmic evolution and to study the evolution of shear as well as spatial curvature.</p>

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Cosmic evolution of Bianchi III model within Born-Infeld f(R) gravity theory

  • 期刊论文

  • 发表日期：

    2025年1月13日

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  • Debika Kangsha Banik,
  • Sebika Kangsha Banik,
  • Kalyan Bhuyan

摘要

In this paper, we have put forwarded a detailed investigation on the cosmic evolution of Bianchi type III model within the realm of Born-Infeld f(R) gravity executing the Palatini approach. Using a very eminent tool known as Dynamical System Approach (DSA), we have curtailed the complexity of the non linear field equations and study the dynamics for the form \(f(R) =R-\beta / R^n\) f ( R ) = R - β / R n . The main focus of our work is to retrieve the sequence of cosmic evolution and to study the evolution of shear as well as spatial curvature.