caa a22 4500 445385758 CHVBK 20180317143031.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10714-011-1160-3 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1160-3 Thermodynamics of Lema $$\hat{i}$$ tre−Tolman−Bondi Model [Elektronische Daten] [Nairwita Mazumder, Ritabrata Biswas, Subenoy Chakraborty] Here we consider our universe as inhomogeneous spherically symmetric Lema $${\hat{i}}$$ tre−Tolman−Bondi Model and analyze the thermodynamics of this model of the universe. The trapping horizon is calculated and is found to coincide with the apparent horizon. The Einstein field equations are shown to be equivalent with the unified first law of thermodynamics. Finally assuming the first law of thermodynamics validity of the generalized second law of thermodynamics is examined at the apparent horizon for the perfect fluid and at the event horizon for holographic dark energy. Springer Science+Business Media, LLC, 2011 Thermodynamics nationallicence Inhomogeneity nationallicence Tolman − Bondi Model nationallicence Mazumder Nairwita Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut Biswas Ritabrata Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut Chakraborty Subenoy Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/6(2011-06-01), 1827-1836 0001-7701 43:6<1827 2011 43 10714 https://doi.org/10.1007/s10714-011-1160-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1160-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mazumder Nairwita Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut NATIONALLICENCE 700 1- Biswas Ritabrata Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut NATIONALLICENCE 700 1- Chakraborty Subenoy Department of Mathematics, Jadavpur University, 700032, Kolkata, India aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/6(2011-06-01), 1827-1836 0001-7701 43:6<1827 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer