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arXiv · 2211.02822

Modified cosmology from the thermodynamics of apparent horizon

Shin'ichi Nojiri·Sergei D. Odintsov·Tanmoy Paul
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Abstract

In the realm of the Bekenstein-Hawking entropy, the thermodynamics of apparent horizon bridges with the usual FLRW (Friedmann-Lemaître-Robertson-Walker) equation only for a special case where the matter field is given by a perfect fluid having equation of state (EoS) parameter $= -1$, i.e $p = -ρ$ with $ρ$ and $p$ represent the energy density and the pressure of the fluid, respectively. To include the case $p \neq -ρ$, we consider the modification of the Bekenstein-Hawking entropy in the present work. In particular, we develop an entropy function that leads to the usual FLRW equations, for a $general$ EoS of the matter fluid given by $p = wρ$, directly from the thermodynamics of the apparent horizon. The newly developed entropy acquires a correction over the Bekenstein-Hawking entropy and differs from the known entropies like the Tsallis, Rényi, Barrow, Sharma-Mittal, Kaniadakis, and Loop Quantum Gravity entropies proposed so far. Based on this finding, we examine how the Friedmann equations of the apparent horizon cosmology are accordingly modified if one starts with a general entropy depending on the Bekenstein-Hawking entropy. This results in some interesting cosmological consequences during the early and late stages of the universe.

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Shin'ichi Nojiri, Sergei D. Odintsov, Tanmoy Paul. 2022-11-05. Modified cosmology from the thermodynamics of apparent horizon. https://doi.org/10.1016/j.physletb.2022.137553

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