Generalized Bekenstein-Hawking system: Logarithmic Correction

TL;DR

This paper generalizes the Bekenstein-Hawking system by introducing a variable parameter to modify Hawking temperature, ensuring thermodynamic laws hold on the event horizon, and explores the implications of these modifications.

Contribution

It introduces a generalized Hawking temperature with a variable parameter and examines the resulting modifications to entropy and thermodynamic laws on the event horizon.

Findings

Thermodynamic laws are valid for any fluid distribution on the event horizon.

Modified Bekenstein entropy is consistent with thermodynamics.

Parameter interpretation provides physical insight into the model.

Abstract

The present work is a generalization of the recent work [arXiv: 1206.1420] on the modified Hawking temperature on the event horizon. Here the Hawking temperature is generalized by multiplying the modified Hawking temperature by a variable parameter \alpha representing the ratio of the growth rate of the apparent horizon to the event horizon. It is found that both the first and the generalized second law of thermodynamics are valid on the event horizon for any fluid distribution. Subsequently, Bekenstein entropy is modified on the event horizon and thermodynamical laws are examined. Finally, interpretation of the parameters involved has been presented.