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Tsallis holographic dark energy model with event horizon cutoff in modified gravity

Artyom V. Astashenok

https://orcid.org/0000-0001-8824-2714

Immanuel Kant Baltic Federal University, Nevskogo, 14, Kaliningrad 236041, Russia

E-mail Address: aastashenok@kantiana.ru

Corresponding author.

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and

Alexander S. Tepliakov

Immanuel Kant Baltic Federal University, Nevskogo, 14, Kaliningrad 236041, Russia

E-mail Address: atepliakov@kantiana.ru

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https://doi.org/10.1142/S0219887822502346Cited by:5 (Source: Crossref)

Abstract

In this paper, we considered the Tsallis holographic dark energy model in frames of Nojiri–Odintsov gravity with $f (R) = R + λ R^{2} - σ μ / R$ $f (R) = R + λ R^{2} - σ μ / R$ . For IR, cutoff event horizon is taken. The cosmological evolution of such universe is investigated for various initial conditions and values of parameters. The dependence of the Hubble parameter $H$ $H$ from time in the future has an oscillation. It is shown that for $μ \neq 0$ $μ \neq 0$ appearance of singularities are typical and the time up to these singularities can be relatively small from cosmological viewpoint. The singularity is associated with the zero of second derivative of $f (R)$ $f (R)$ on $R$ $R$ . It is interesting to note that these models can describe observational data from Ia supernovae astrophysics and dependence of the Hubble parameter from redshift $z$ $z$ at least not worse than canonical $Λ$ $Λ$ CDM model.

Keywords:

AMSC: 83F05

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