Abstract
The manuscript presents the dynamics of Tsallis holographic dark energy (THDE) and Rényi holographic dark energy (RHDE) prescribed by a non-linear interaction in the FRW spacetime and for a scale factor evolving with a composite power law-exponential (hybrid) form. To construct the energy densities of these holographic dark energy models, I assume the Hubble cutoff to be the IR limit. I find that the deceleration parameter undergoes a signature flipping at a redshift \(z\) consistent with observations. The EoS parameter \(\omega _{de}\) for both the HDE models exhibit quite contrasting dynamical behavior despite assuming values close to −1 at \(z=0\) and therefore consistent with current observations. Next, I find the squared sound speed \(c_{s}^{2}\) to be positive for the THDE model ensuring stability against perturbations, whereas for the RHDE model, \(c_{s}^{2}<0\) implying instability against perturbations. Furthermore, I analyzed the evolutionary behavior of the EoS parameter of the HDE models by constructing the \(\omega _{de}-\omega _{de}^{\prime }\) plane and find that the plane lies in the freezing region for the THDE model and in the thawing region for the RHDE model.
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Acknowledgements
I thank DST, New-Delhi, Government of India for the provisional INSPIRE fellowship selection [Code: DST/INSPIRE/03/2019/003141]. I also thank the anonymous referee for his/her constructive comments and useful criticisms which greatly improved the quality and presentation of the work.
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Bhattacharjee, S. Interacting Tsallis and Rényi holographic dark energy with hybrid expansion law. Astrophys Space Sci 365, 103 (2020). https://doi.org/10.1007/s10509-020-03820-7
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DOI: https://doi.org/10.1007/s10509-020-03820-7