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