Apparent horizon and gravitational thermodynamics of Universe in the Eddington-Born-Infeld theory
arXiv:1804.00772 · doi:10.1155/2018/7801854
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 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.
arXiv comment23 pages, 0 figures
References in corpus (33)
- Thermodynamical Aspects of Gravity: New insights
- First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
- General Laws of Black-Hole Dynamics
- Unified first law of black-hole dynamics and relativistic thermodynamics
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Non-equilibrium Thermodynamics of Spacetime
- Gravitational Energy in Spherical Symmetry
- Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
- Cosmic Holography
- Eddington's theory of gravity and its progeny
- Isolated Horizons: Hamiltonian Evolution and the First Law
- Thermodynamic Behavior of Field Equations for f(R) Gravity
- Hawking Radiation of Apparent Horizon in a FRW Universe
- Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
- Black hole boundaries
- Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
- Dark Matter Direct Detection with Non-Maxwellian Velocity Structure
- Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
- Thermodynamics of Apparent Horizon in Brane World Scenario
- Generalized Second Law of Thermodynamics in Quintom Dominated Universe
- Horizon Thermodynamics and Gravitational Field Equations in Horava-Lifshitz Gravity
- Non-equilibrium Thermodynamics of Spacetime: the Role of Gravitational Dissipation
- The Generalized Second Law of Thermodynamics in Cosmology
- Thermodynamics of Apparent Horizon in Brane World Scenarios
- Equilibrium thermodynamics in modified gravitational theories
- Eddington-Born-Infeld gravity and the large scale structure of the Universe
- Cosmological apparent and trapping horizons
- Eddington-Born-Infeld action for dark energy and dark matter
- A note on bigravity and dark matter
- Apparent horizon and gravitational thermodynamics of the Universe: Solutions to the temperature and entropy confusions, and extensions to modified gravity
- Generalized second law of thermodynamics in scalar-tensor gravity
- Cosmological constraints for an Eddington-Born-Infeld field
- Clausius relation and Friedmann equation in FRW universe model