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Related papers: Tsallis holographic dark energy for inflation

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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

The increasing interest in studying the role of holographic dark energy in the evolution of the very early universe motivates us to study it for the scenario of warm inflation. Due to this scenario, the holographic dark energy, which now…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Abolhassan Mohammadi

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 apply the holographic principle at the early universe, obtaining an inflation realization of holographic origin. Such a consideration has equal footing with its well-studied late-time application, and moreover the decrease of the…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Shin'ichi Nojiri , Sergei D. Odintsov , Emmanuel N. Saridakis

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

Understanding how early-universe inflation may emerge from generalized holographic energy densities within modified gravity motivates the present analysis. We develop a self-consistent inflationary scenario in which the Tsallis holographic…

General Relativity and Quantum Cosmology · Physics 2025-12-09 S. Taghavi , T. Golanbari , Kh. Saaidi

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

We apply the holographic principle during the inflationary stage of our universe. Where necessary, we illustrate the analysis in the case of new and extended inflation which, together, typify generic models of inflation. We find that in the…

High Energy Physics - Theory · Physics 2009-10-31 S. Kalyana Rama , Tapobrata Sarkar

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

Motivated by the work of Nojiri et al. (2019) [S. Nojiri, S. D. Odintsov and E. N. Saridakis, Holographic inflation, Phys. Lett. B 797 (2019) 134829], the present study reports a model of inflation under the consideration that the…

General Physics · Physics 2020-06-15 Gargee Chakraborty , Surajit Chattopadhyay

The scenario of constant-roll inflation is investigated assuming that it is caused by holographic dark energy with energy density $3M_p^2 c^2 / L^2$. The energy density with varying $c$ parameter and Hubble radius as infrared cutoff…

General Relativity and Quantum Cosmology · Physics 2022-03-15 Abolhassan Mohammadi

Recently, the R\'{e}nyi and Tsallis generalized entropies have extensively been used in order to study various cosmological and gravitational setups. Here, using a special type of generalized entropy, a generalization of both the R\'{e}nyi…

General Relativity and Quantum Cosmology · Physics 2018-04-05 A. Sayahian Jahromi , S. A. Moosavi , H. Moradpour , J. P. Morais Graça , I. P. Lobo , I. G. Salako , A. Jawad

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

Holographic principles have proven to be a very interesting approach towards dealing with the issues of the late-time acceleration of the universe, which has resulted in a great amount of work on holographic dark energy models. We consider…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Oem Trivedi , Maxim Khlopov , Alexander V. Timoshkin

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

The $f(R)$ gravity theory is considered. It is a gravitational theory that generalizes the Einstein-Hilbert action. In this context, a holographic dark energy model is studied. Tsallis non-extensive entropy is used to introduce the dark…

General Relativity and Quantum Cosmology · Physics 2020-12-02 P. S. Ens , A. F. Santos

The paper deals with a theoretical model for interacting Tsallis holographic dark energy (THDE) whose infrared (IR) cut-off scale is set by the Hubble length. The interaction $Q$ between the dark sectors (dark energy and pressureless dark…

General Relativity and Quantum Cosmology · Physics 2020-10-27 Abdulla Al Mamon , Amir Hadi Ziaie , Kazuharu Bamba

By assuming that a dark component (dark energy) in the universe strictly obeys the holographic principle, that is, its entropy is one fourth of the apparent horizon, we find that the existence of the other dark component (dark matter) is…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Hongsheng Zhang , Xin-Zhou Li , Hyerim Noh

Based on the entropy of anti-de Sitter black hole, a new holographic dark energy model has been proposed. When the Hubble horizon and particle horizon are chosen as the IR cutoff, the late-time accelerated expansion of universe is realized.…

General Relativity and Quantum Cosmology · Physics 2025-04-16 Qihong Huang , He Huang , Bing Xu , Kaituo Zhang

We propose a new four-parameter entropy function that generalizes the Tsallis, R\'{e}nyi, Barrow, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies for suitable limits of the parameters. Consequently, we address the early and…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Shin'ichi Nojiri , Sergei D. Odintsov , Tanmoy Paul
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