Modified Bekenstein-Hawking System in f(R) Gravity

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• 作者：Jibitesh Dutta ; Saugata Mitra ; Binod Chetry
• 关键词：Modified theories of gravity ; Generalised second law of thermodynamics ; Thermodynamic equilibrium ; Modified Bekenstein entropy and generalised/ modified Hawking temperature ; Event horizon
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：55
• 期：10
• 页码：4272-4285
• 全文大小：616 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575
• 卷排序：55

文摘

The present work deals with four alternative formulation of Bekenstein system on event horizon in f(R) gravity. While thermodynamical laws holds in universe bounded by apparent horizon, these laws break down on event horizon. With alternative formulation of thermodynamical parameters (temperature and entropy), thermodynamical laws hold on event horizon in Einstein Gravity. With this motivation, we extend the idea of generalised Hawking temperature and modified Bekenstein entropy in homogeneous and isotropic model of universe on event horizon and examine whether thermodynamical laws hold in f(R) gravity. Specifically, we examine and compare validity of generalised second law of thermodynamics (GSLT) and thermodynamical equilibrium (TE) in four alternative modified Bekenstein scenarios. As Dark energy is a possible dominant candidate for matter in the univerese and Holographic Dark Energy (HDE) can give effective description of f(R) gravity, so matter in the universe is taken as in the form interacting HDE. In order to understand the complicated expressions, finally the above laws are examined from graphical representation using three Planck data sets and it is found that generalised/modified Hawking temperature has a crucial role in making perfect thermodynamical system.