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We apply the holographic principle in the cosmological context through the nonadditive Tsallis entropy, used to describe the thermodynamic properties of nonstandard statistical systems such as the gravitational ones. Assuming the future…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Rocco D'Agostino

We consider a Tsallis holographic dark energy model with interaction between dark energy and matter. The density of dark energy is taken as $\rho_d \sim 3C^2/L^{4-2\gamma}$, where $C$, $\gamma$ are constants. The event horizon is chosen as…

General Relativity and Quantum Cosmology · Physics 2022-05-02 Artyom V. Astashenok , Alexander S. Tepliakov

We investigate the Tsallis holographic dark energy (THDE) models in the context of perturbations' growth. We assume the description of dark energy by considering the holographic principle and the nonadditive entropy to carry out this. We…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-21 W. J. C. da Silva , R. Silva

In order to apply holography and entropy relations to the whole universe, which is a gravitational and thus nonextensive system, for consistency one should use the generalized definition for the universe horizon entropy, namely Tsallis…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Emmanuel N. Saridakis , Kazuharu Bamba , R. Myrzakulov , Fotios K. Anagnostopoulos

We investigated evolution of metric and density perturbations for Tsallis model of holographic dark energy with energy density $\sim L^{2\gamma - 4}$, where $L$ is length of event horizon or inverse Hubble parameter and $\gamma$ is…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Artyom V. Astashenok , Alexander S. Tepliakov

Using the Tsallis generalized entropy, holographic hypothesis and also considering the Hubble horizon as the IR cutoff, we build a holographic model for dark energy and study its cosmological consequences in the Brans-Dicke framework. At…

General Relativity and Quantum Cosmology · Physics 2018-09-05 S. Ghaffari , H. Moradpour , I. P. Lobo , J. P. Morais Graça , Valdir B. Bezerra

Holographic dark energy models have proven to be a very interesting way to study various aspects of late-time acceleration of the universe. In this work we extensively study HDE models with the Granda-Oliveros cutoff with an ansatz based…

General Relativity and Quantum Cosmology · Physics 2024-05-28 Oem Trivedi , Maxim Khlopov

We discuss Tsallis holographic dark energy (THDE) model in higher dimension. An interacting dark energy model is proposed with Generalized Chaplygin Gas (GCG) in the framework of Compact Kaluza-Klein gravity. It is shown that a stable…

General Relativity and Quantum Cosmology · Physics 2020-06-11 A. Saha , S. Ghose

The application of holographic principle in very early time is studied. The consideration of the principle in the late-time evolution will be a good motivation to study its role at the time of inflation. Since the length scale is expected…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Abolhassan Mohammadi , Tayeb Golanbari , Kazuharu Bamba , Iarley P. Lobo

Holographic dark energy models have been recently suggested which most clearly show that accelerating cosmology appears to be incompatible with mathematically consistent formulations of fundamental theories such as string/M theories. In…

Astrophysics · Physics 2007-05-23 Pedro F. Gonzalez-Diaz

We investigated evolution of metric and density perturbations for Tsallis model of holographic dark energy with energy density $\sim L^{2\gamma - 4}$, where $L$ is length of event horizon or inverse Hubble parameter and $\gamma$ is…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Artyom V. Astashenok , Alexander S. Tepliakov

Using the nonextensive Tsallis entropy and the holographic hypothesis, we propose a new dark energy (DE) model with time scale as infrared (IR) cutoff. Considering the age of the Universe as well as the conformal time as IR cutoffs, we…

General Physics · Physics 2019-04-01 M. Abdollahi Zadeh , A. Sheykhi , H. Moradpour

We study the cosmological consequences of interacting Tsallis holographic dark energy model in the framework of the fractal universe, in which, the Hubble radius is considered as the IR cut-off. We drive the equation of state (EoS)…

General Relativity and Quantum Cosmology · Physics 2020-06-24 S. Ghaffari , E. Sadri , A. H. Ziaie

Bearing holographic dark energy hypothesis in mind, the ability of vacuum energy in describing the current accelerated universe is studied in the framework of Rastall theory. Here, in addition to the ordinary approach in which it is…

General Relativity and Quantum Cosmology · Physics 2020-11-17 S. Ghaffari , A. A. Mamon , H. Moradpour , A. H. Ziaie

The paper investigates the Tsallis holographic dark energy (THDE) model in accordance with the apparent horizon as an infrared cut-off, in a non-flat universe. The cosmological evolution of the deceleration parameter and equation of state…

General Physics · Physics 2020-01-16 Vipin Chandra Dubey , Umesh Kumar Sharma , A. Beesham

Tsallis entropy is a generalization of the Boltzmann-Gibbs entropy in statistical theory which uses a parameter $\delta$ to measure the deviation from the standard scenario quantitatively. Using concepts of Tsallis entropy and future event…

General Physics · Physics 2022-04-19 Bramha Dutta Pandey , Suresh Kumar P , Pankaj , Umesh Kumar Sharma

We study a cosmological implication of holographic dark energy in the Brans-Dicke gravity. We employ the holographic model of dark energy to obtain the equation of state for the holographic energy density in non-flat (closed) universe…

General Relativity and Quantum Cosmology · Physics 2010-11-22 M. R. Setare , Mubasher Jamil

We study a holographic model for the dark energy considered recently in the literature which postulates an energy density $\rho \sim R$, where $R$ is the Ricci scalar curvature. We obtain a cosmological scenario that comes from considering…

High Energy Physics - Theory · Physics 2014-11-21 Samuel Lepe , Francisco Pena

In this paper, the model of holographic Chaplygin gas has been extended to two general cases: first is the case of modified variable Chaplygin gas and secondly of the viscous generalized Chaplygin gas. The dynamics of the model are…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Mubasher Jamil , M. Umar Farooq , Muneer Ahmad Rashid

It has, quite recently, become fashionable to study a certain class of holographic-inspired models for the dark energy. These investigations have, indeed, managed to make some significant advances towards explaining the empirical data.…

High Energy Physics - Theory · Physics 2009-02-18 A. J. M. Medved
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