Apparent Horizon and Gravitational Thermodynamics of Universe in the Eddington-Born-Infeld Theory. (18th November 2018)

• Record Type: Journal Article
• Authors: Ding, Jia-Cheng; Fan, Qi-Qi; Li, Cong; Li, Ping; Deng, Jian-Bo
• Other Names: Lopez Esperanza Guest Editor.
• Is Part Of: Advances in high energy physics. Volume 2018(2018)
• Publication Date: 2018-11-18
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2018/7801854
• Languages: English
• ISSNs: 1687-7357

Abstract

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 Υ 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 μ ν . With the help of the holographic-style dynamical equations, we discussed the property of the cosmical apparent horizon Υ 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 Υ 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.