Towards the entropy of gravity time-dependent models via the Cardy-Verlinde formula
arXiv:hep-th/0304196 · doi:10.1103/PhysRevD.68.026002
Abstract
For models with several time-dependent components generalized entropies can be defined. This is shown for the Bianchi type IX model. We first derive the Cardy-Verlinde formula under the assumption that the first law of thermodynamics is valid. This leads to an explicit expression of the total entropy associated with this type of universes. Assuming the validity of the Cardy entropy formula, we obtain expressions for the corresponding Bekenstein, Bekenstein-Hawking and Hubble entropies. We discuss the validity of the Cardy-Verlinde formula and possible extensions of the outlined procedure to other time-dependent models.
arXiv comment13 pages
References in corpus (16)
- The World as a Hologram
- Rolling Tachyon
- Spacelike Branes
- Lectures on string/brane cosmology
- Holography and Cosmology
- On the Holographic Principle in a Radiation Dominated Universe
- CFT and Entropy on the Brane
- Relating Friedmann equation to Cardy formula in universes with cosmological constant
- On the Cardy-Verlinde Entropy Formula in Viscous Cosmology
- New Five Dimensional Black Holes Classified by Horizon Geometry, and a Bianchi VI Braneworld
- A Note on the Cardy-Verlinde Formula
- The Cardy-Verlinde formula and entropy of Topological Reissner-Nordström black holes in de Sitter spaces
- Cardy-Verlinde Entropy Formula in the Presence of a General Cosmological State Equation
- The Cardy-Verlinde Formula and Charged Topological AdS Black Holes
- Quantum bounds for gravitational de Sitter entropy and the Cardy-Verlinde formula
- The Cardy-Verlinde Formula and Asymptotically Flat Charged Black Holes