Apparent Horizon and Gravitational Thermodynamics of Universe in the Eddington-Born-Infeld Theory

Deng, Jian-Bo  (Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China) ; Ding, Jia-Cheng (Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China) ; Fan, Qi-Qi (Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China) ; Li, Cong (Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China) ; Li, Ping  (Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China)

19 November 2018

Abstract: The thermodynamics of Universe in the Eddington-Born-Infeld (EBI) theory was restudied by utilizing the holographic-style gravitational equations that dominate the dynamics of the cosmical apparent horizon ΥA and the evolution of Universe. We started in rewriting the EBI action of the Palatini approach into the Bigravity-type action with an extra metric qμν . With the help of the holographic-style dynamical equations, we discussed the property of the cosmical apparent horizon ΥA including timelike, spacelike, and null characters, which depends on the value of the parameter of state wm in EBI Universe. The unified first law for the gravitational thermodynamics and the total energy differential for the open system enveloped by ΥA in EBI Universe were obtained. Finally, applying the positive-heat-out sign convention, we derived the generalized second law of gravitational thermodynamics in EBI Universe.


Published in: Advances in High Energy Physics 2018 (2018) 7801854
Published by: Hindawi
DOI: 10.1155/2018/7801854
arXiv: 1804.00772
License: CC-BY-3.0



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