摘要：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 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 . With the help of the holographic-style dynamical equations, we discussed the property of the cosmical apparent horizon including timelike, spacelike, and null characters, which depends on the value of the parameter of state in EBI Universe. The unified first law for the gravitational thermodynamics and the total energy differential for the open system enveloped by 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.
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