Thermodynamics of the inhomogeneous perfect fluid LTB model: modified Bekenstein–Hawking system

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• 作者：Subhajit Saha ; Subenoy Chakraborty
• 关键词：Inhomogeneous perfect fluid LTB model ; Thermodynamical laws ; Generalized Hawking temperature ; Bekenstein entropy
• 刊名：General Relativity and Gravitation
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：47
• 期：10
• 全文大小：415 KB
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• 作者单位：Subhajit Saha (1)
  Subenoy Chakraborty (1)
  
  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, West Bengal, India
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

The present work deals with three alternative generalized Bekenstein–Hawking formulation of thermodynamical parameters namely entropy and temperature for the universal thermodynamical system bounded by a horizon in the frame work of inhomogeneous perfect fluid Lemaitre-Tolman-Bondi (LTB) model of the Universe. For the first choice, the first law of thermodynamics holds only for the trivial de Sitter case of the LTB model while we still need to examine the integrability of the Gibbs one-form to test the validity of the generalized second law of thermodynamics. However, for the other two choices, the first law of thermodynamics holds for general LTB models, provided some specific form of the parameters are integrable and self-consistent. Keywords Inhomogeneous perfect fluid LTB model Thermodynamical laws Generalized Hawking temperature Bekenstein entropy