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Thermodynamic approach to holographic dark energy and the Rényi entropy

H. MoradpourResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, IranS. A. MoosaviResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, IranI. P. LoboDepartamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, CEP 58051-970, BrazilJ. P. Morais GraçaDepartamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, CEP 58051-970, BrazilA. JawadDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, PakistanI. G. SalakoInstitut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Benin

2018en

ABI

Annotatsiya

Using the first law of thermodynamics, we propose a relation between the system entropy (S) and its IR (L) and UV ( $$\Lambda $$ ) 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.

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DOI: 10.1140/epjc/s10052-018-6309-8

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