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<p>In this paper, we explore the Friedmann-Robertson-Walker (FRW) cosmological model within the framework of fractal gravity. We examine the behavior of bouncing cosmology, which offers a solution to the issue of non-singularities present in standard Big Bang cosmology. First We analyze the evolution of cosmological parameters as a function of cosmic time to explore the conditions required for the occurrence of a bouncing cosmological model. We reconstruct the bouncing universe through the redshift parameter and introducing the dimensionless parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(r(z)=\frac{H(z)^2}{H_{0}^2}\)</EquationSource> </InlineEquation>. Constraints are applied using the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\chi ^2\)</EquationSource> </InlineEquation> test, yielding best-fit values that strongly align with the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\Lambda\)</EquationSource> </InlineEquation>CDM model. We observed the violation of both the null energy condition and the strong energy condition. Finally, we assess the stability of the model using a function based on sound speed. It is observed that the model remains stable at late times.</p>

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Reconstructing the Bouncing Cosmology with Fractal Gravity

  • 期刊论文

  • 发表日期：

    2025年10月31日

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  • D. D. Pawar,
  • A. P. Nirwal,
  • D. K. Raut,
  • Shah Muhammad,
  • Euaggelos E. Zotos

摘要

In this paper, we explore the Friedmann-Robertson-Walker (FRW) cosmological model within the framework of fractal gravity. We examine the behavior of bouncing cosmology, which offers a solution to the issue of non-singularities present in standard Big Bang cosmology. First We analyze the evolution of cosmological parameters as a function of cosmic time to explore the conditions required for the occurrence of a bouncing cosmological model. We reconstruct the bouncing universe through the redshift parameter and introducing the dimensionless parameter \(r(z)=\frac{H(z)^2}{H_{0}^2}\) . Constraints are applied using the \(\chi ^2\) test, yielding best-fit values that strongly align with the \(\Lambda\) CDM model. We observed the violation of both the null energy condition and the strong energy condition. Finally, we assess the stability of the model using a function based on sound speed. It is observed that the model remains stable at late times.