Tsallis holographic dark energy reconsidered

Abstract We consider the interacting Tsallis Holographic Dark Energy (THDE), with the Granda–Oliveros (GO) scale as the infrared (IR) cutoff, as dynamical vacuum. We analytically solved for the Hubble parameter, in a spatially flat FLRW universe with dark energy and matter as components, and the sol...

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Main Authors: M. Dheepika, Titus K Mathew
Format: Article
Language:English
Published: SpringerOpen 2022-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10365-2
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author M. Dheepika
Titus K Mathew
author_facet M. Dheepika
Titus K Mathew
author_sort M. Dheepika
collection DOAJ
description Abstract We consider the interacting Tsallis Holographic Dark Energy (THDE), with the Granda–Oliveros (GO) scale as the infrared (IR) cutoff, as dynamical vacuum. We analytically solved for the Hubble parameter, in a spatially flat FLRW universe with dark energy and matter as components, and the solution traces the evolutionary path from the prior decelerated to the late accelerated epoch. Without interaction, the model predicts a $$\varLambda $$ Λ CDM like behavior with an effective cosmological constant. We used Pantheon Supernovae type Ia, observational Hubble data (OHD), cosmic microwave background (CMB), and baryon acoustic oscillation (BAO) data to constrain the free parameters of the model. The estimated values of the cosmological parameters were consistent with observational results. We analyzed the behavior of the model using the statefinder and $$\omega ^\prime _{e}-\omega _{e}$$ ω e ′ - ω e plane where $$\omega _{e}$$ ω e and $$\omega ^\prime _{e}$$ ω e ′ corresponds to the effective equation of state and its evolution, respectively. The model shows a quintessence behavior in general, and the model trajectory ends in a point that corresponds to the de Sitter phase. We performed a dynamical analysis of the model, concluding that the prior decelerated and late accelerated phases are unstable and stable equilibria, respectively. We also investigated the thermodynamical nature of the model and found that the generalized second law remains valid in the dynamical vacuum treatment of the model.
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spelling doaj.art-2e25d55b9b3344d381f8c80e0c5bb9752022-12-22T00:44:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-05-0182511410.1140/epjc/s10052-022-10365-2Tsallis holographic dark energy reconsideredM. Dheepika0Titus K Mathew1Department of Physics, Cochin University of Science and TechnologyDepartment of Physics, Cochin University of Science and TechnologyAbstract We consider the interacting Tsallis Holographic Dark Energy (THDE), with the Granda–Oliveros (GO) scale as the infrared (IR) cutoff, as dynamical vacuum. We analytically solved for the Hubble parameter, in a spatially flat FLRW universe with dark energy and matter as components, and the solution traces the evolutionary path from the prior decelerated to the late accelerated epoch. Without interaction, the model predicts a $$\varLambda $$ Λ CDM like behavior with an effective cosmological constant. We used Pantheon Supernovae type Ia, observational Hubble data (OHD), cosmic microwave background (CMB), and baryon acoustic oscillation (BAO) data to constrain the free parameters of the model. The estimated values of the cosmological parameters were consistent with observational results. We analyzed the behavior of the model using the statefinder and $$\omega ^\prime _{e}-\omega _{e}$$ ω e ′ - ω e plane where $$\omega _{e}$$ ω e and $$\omega ^\prime _{e}$$ ω e ′ corresponds to the effective equation of state and its evolution, respectively. The model shows a quintessence behavior in general, and the model trajectory ends in a point that corresponds to the de Sitter phase. We performed a dynamical analysis of the model, concluding that the prior decelerated and late accelerated phases are unstable and stable equilibria, respectively. We also investigated the thermodynamical nature of the model and found that the generalized second law remains valid in the dynamical vacuum treatment of the model.https://doi.org/10.1140/epjc/s10052-022-10365-2
spellingShingle M. Dheepika
Titus K Mathew
Tsallis holographic dark energy reconsidered
European Physical Journal C: Particles and Fields
title Tsallis holographic dark energy reconsidered
title_full Tsallis holographic dark energy reconsidered
title_fullStr Tsallis holographic dark energy reconsidered
title_full_unstemmed Tsallis holographic dark energy reconsidered
title_short Tsallis holographic dark energy reconsidered
title_sort tsallis holographic dark energy reconsidered
url https://doi.org/10.1140/epjc/s10052-022-10365-2
work_keys_str_mv AT mdheepika tsallisholographicdarkenergyreconsidered
AT tituskmathew tsallisholographicdarkenergyreconsidered