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 Lambda CDM one.
Highlights
According to the current cosmological observations, our universe is experiencing a late time accelerating expansion
Since the entropy area relation obtained from the modified gravity theory can be useful to extract the dark energy dynamics along with the modified Friedmann equations, it is reasonable to believe that even if we do not know the underlying theory of modified gravity, some modifications of the entropy relation will still give us additional information for modified Friedmann equations as well as the dynamics of dark energy, which would be different from CDM
We have calculated the cosmological evolutions of ρDE and wDE in the power law corrected entropy (PLCE) and Tsallis entropy cosmological evolution (TECE) models
Summary
According to the current cosmological observations, our universe is experiencing a late time accelerating expansion. The CDM model can describe the accelerating universe by introducing dark energy [1], it fails to solve the cosmological constant problem, related to the “fine-tuning” [2,3] and “coincidence” [4,5] puzzles. One can modify the gravitational theory to obtain viable cosmological models with dynamical dark energy to explain the accelerating universe [6]. A number of works on the Tsallis holographic dark energy have been proposed and investigated [20,21,22,23,24]. It is shown that modified cosmology from the first law of thermodynamics with varying-exponent Tsallis entropy can provide a description of both inflation and
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