Eur. Phys. J. C (2018) 78: 829
https://doi.org/10.1140/epjc/s10052-018-6309-8

Regular Article - Theoretical Physics

Thermodynamic approach to holographic dark energy and the Rényi entropy

¹ Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran
² Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, CEP 58051-970, Brazil
³ Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan
⁴ Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Benin

^* e-mail: h.moradpour@riaam.ac.ir

Received: 24 August 2018
Accepted: 4 October 2018
Published online: 15 October 2018

Abstract

Using the first law of thermodynamics, we propose a relation between the system entropy (S) and its IR (L) and UV () cutoffs. In addition, applying this relation to the apparent horizon of flat FRW universe, whose entropy meets the Rényi entropy, a new holographic dark energy model is addressed. Thereinafter, the evolution of the flat FRW universe, filled by a pressureless source and the obtained dark energy candidate, is studied. In our model, there is no mutual interaction between the cosmos sectors. We find out that the obtained model is theoretically powerful to explain the current accelerated phase of the universe. This result emphasizes that the generalized entropy formalism is suitable for describing systems including the long-range interactions such as gravity.