Apparent horizon and gravitational thermodynamics of Universe in the Eddington-Born-Infeld theory

Autor: Ding, Jia-Cheng, Fan, Qi-Qi, Li, Cong, Li, Ping, Deng, Jian-Bo
Rok vydání: 2018
Předmět:
Zdroj: Adv.High Energy Phys. 2018 (2018) 7801854
Druh dokumentu: Working Paper
DOI: 10.1155/2018/7801854
Popis: 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 $\Upsilon_{A}$ 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 $\Upsilon_{A}$ 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 $\Upsilon_{A}$ 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.
Comment: 23 pages, 0 figures
Databáze: arXiv