The Cardy-Verlinde formula and entropy of Topological Kerr-Newman black holes in de Sitter spaces

Abstract

In this paper we show that the entropy of cosmological horizon in 4-dimensional Topological Kerr-Newman-de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. Furthermore, we find that the entropy of black hole horizon can also be rewritten in terms of the Cardy-Verlinde formula for these black holes in de Sitter spaces, if we use the definition due to Abbott and Deser for conserved charges in asymptotically de Sitter spaces. Such result presume a well-defined dS/CFT correspondence, which has not yet attained the credibility of its AdS analogue.

10 pages, no figure,references added, typos corrected, discussion added, has been accepted for the publication in Eur.Phys.J.C

References in corpus (27)

• The dS/CFT Correspondence
• Quantum Gravity In De Sitter Space
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Inflation and the dS/CFT Correspondence
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces
• Deconstructing de Sitter
• Cardy-Verlinde Formula and Asymptotically de Sitter Spaces
• Conformal anomaly from dS/CFT correspondence
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
• Check of the Mass Bound Conjecture in the de Sitter Space
• Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence
• Gravitational energy, dS/CFT correspondence and cosmic no-hair
• Entropy of the three dimensional Schwarzschild-de Sitter black hole
• Entropy bounds, monotonicity properties and scaling in CFTs
• Matrix Model for De Sitter
• Holographic Entropy on the Brane in de Sitter Schwarzschild Space
• The Cardy-Verlinde formula and entropy of Topological Reissner-Nordström black holes in de Sitter spaces
• Holographic Thermodynamic on the Brane in Topological Reissner-Nordström de Sitter Space
• The Cardy-Verlinde Formula and Charged Topological AdS Black Holes
• Exploring the Similarities of the dS/CFT and Ads/CFT Correspondences
• The asymptotic symmetry of de Sitter spacetime
• A black hole hologram in de Sitter space
• Cardy-Verlinde Formula and entropy bounds in Kerr-Newman-AdS${}_4$/dS${}_4$ black holes backgrounds
• Three Dimensional de Sitter Gravity and the Correspondence
• A Holographic Interpretation of Asymptotically de Sitter Spacetimes

Cited by in corpus (18)

• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Self-Gravitational Corrections to the Cardy-Verlinde Formula of Achucarro-Ortiz Black Hole
• Reissner-Nordstrom-de Sitter black hole, planar coordinates and dS/CFT
• Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
• Bouncing Cosmologies and Self-Gravitational Corrections
• Cardy-Verlinde Formula of Non-Commutative Schwarzschild Black Hole
• The Cardy-Verlinde formula and entropy of the charged rotating BTZ black hole
• Casimir densities for a spherical brane in Rindler-like spacetimes
• Hawking radiation of Kerr-Newman-de Sitter black hole
• Space Noncommutativity Corrections to the Cardy-Verlinde Formula
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• Black Holes in Multi-Metric Gravity
• Self-gravitational corrections to the Cardy-Verlinde formula of charged BTZ black hole
• Cardy-Verlinde formula of Kehagias-Sfetsos black hole
• Semiclassical Corrections to the Cardy-Verlinde Formula of Kerr Black Holes
• Bouncing cosmological solutions and their stability
• A note on the Cardy formula and black holes in 3d (massive) bigravity
• Cardy-Verlinde formula for an axially symmetric dilaton-axion black hole