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<p>Using Saez and Ballester’s scalar-tensor gravity framework, this study obtains anisotropic and spatially homogeneous Rényi holographic dark energy (RHDE) models. This study examines the Hubble and Granda Oliveros (GO) horizons as the infrared cutoff. An accelerated expansion is obtained by assuming an interaction between the metric potentials, which leads to a&#xa0;deterministic solution of the model’s field equations. We obtain some crucial cosmological parameters, such as the Hubble parameter, deceleration, and the Equation of State (EoS), in addition to the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(w_{de}-w_{de}^{\prime}\)</EquationSource> </InlineEquation> planes, to examine the physical characteristics of our dark energy models. The squared speed of sound (SSS) indicates stability for the RHDE model attributed to the Hubble horizon, while it demonstrates unstable behaviour for the RHDE model corresponding to the GO horizon. The ΛCDM model is consistent with both models, which use the State Finder diagnostic and deceleration parameters to show the Universe’s rapid expansion. The model predictions for the transition epoch and present-day EoS are found to be consistent with observational bounds.</p>

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Renyi holographic dark energy models in Saez-Ballester theory of gravitation

  • 期刊论文

  • 发表日期：

    2026年7月8日

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  • K. V. S. Sireesha,
  • P. E. Satyanarayana,
  • R. Sathi Babu

摘要

Using Saez and Ballester’s scalar-tensor gravity framework, this study obtains anisotropic and spatially homogeneous Rényi holographic dark energy (RHDE) models. This study examines the Hubble and Granda Oliveros (GO) horizons as the infrared cutoff. An accelerated expansion is obtained by assuming an interaction between the metric potentials, which leads to a deterministic solution of the model’s field equations. We obtain some crucial cosmological parameters, such as the Hubble parameter, deceleration, and the Equation of State (EoS), in addition to the \(w_{de}-w_{de}^{\prime}\) planes, to examine the physical characteristics of our dark energy models. The squared speed of sound (SSS) indicates stability for the RHDE model attributed to the Hubble horizon, while it demonstrates unstable behaviour for the RHDE model corresponding to the GO horizon. The ΛCDM model is consistent with both models, which use the State Finder diagnostic and deceleration parameters to show the Universe’s rapid expansion. The model predictions for the transition epoch and present-day EoS are found to be consistent with observational bounds.