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Home > Advances in High Energy Physics (Hindawi) > 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 ${\mathrm{{\rm Y}}}_{A}$ 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 ${q}_{\mu \nu}$ . With the help of the holographic-style dynamical equations, we discussed the property of the cosmical apparent horizon ${\mathrm{{\rm Y}}}_{A}$ including timelike, spacelike, and null characters, which depends on the value of the parameter of state ${w}_{m}$ in EBI Universe. The unified first law for the gravitational thermodynamics and the total energy differential for the open system enveloped by ${\mathrm{{\rm Y}}}_{A}$ 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