Eur. Phys. J. C (2020) 80: 21
https://doi.org/10.1140/epjc/s10052-019-7476-y

Regular Article - Theoretical Physics

Modified cosmology models from thermodynamical approach

¹ School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou, 310024, China
² Department of Physics, National Tsing Hua University, Hsinchu, 300, Taiwan
³ Physics Division, National Center for Theoretical Sciences, Hsinchu, 300, Taiwan

^* e-mail: geng@phys.nthu.edu.tw

Received: 21 September 2019
Accepted: 8 November 2019
Published online: 11 January 2020

Abstract

We apply the first law of thermodynamics to the apparent horizon of the universe with the power-law corrected and non-extensive Tsallis entropies rather than the Bekenstein–Hawking one. We examine the cosmological properties in the two entropy models by using the CosmoMC package. In particular, the first numerical study for the cosmological observables with the power-law corrected entropy is performed. We also show that the neutrino mass sum has a non-zero central value with a relaxed upper bound in the Tsallis entropy model comparing with that in the CDM one.