A new holographic entropy bound from quantum geometry

Abstract

A new entropy bound, tighter than the standard holographic bound due to Bekenstein, is derived for spacetimes with non-rotating isolated horizons, from the quantum geometry approach in which the horizon is described by the boundary degrees of freedom of a three dimensional Chern Simons theory.

4 pages revtex, no figures; some additions made in text, leading to stronger results; minor changes in the list of references

References in corpus (8)

• Logarithmic correction to the Bekenstein-Hawking entropy
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Entropy from Conformal Field Theory at Killing Horizons
• Mechanics of Isolated Horizons
• The Holographic Principle for General Backgrounds
• On Holography and Cosmology
• Holographic Bound From Second Law of Thermodynamics
• Statistical Entropy of Schwarzschild Black Strings and Black Holes

Cited by in corpus (52)

• General Logarithmic Corrections to Black Hole Entropy
• Black hole entropy from Quantum Geometry
• On the log correction to the black hole area law
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Further Evidence for the Conformal Structure of a Schwarzschild Black Hole in an Algebraic Approach
• Thermal Fluctuations and Black Hole Entropy
• A comment on black hole entropy or does Nature abhor a logarithm?
• Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
• Mass and charge fluctuations and black hole entropy
• The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAd{S}_5$ Black Holes
• Algebraic approach to quantum black holes: logarithmic corrections to black hole entropy
• Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
• Generalized uncertainty principle with maximal observable momentum and no minimal length indeterminacy
• Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
• Schwarzschild horizon dynamics and SU(2) Chern-Simons theory
• Bouncing Cosmologies and Self-Gravitational Corrections
• Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
• Black Hole Entropy from Spin One Punctures
• Quantum Gravity on $d{S}_3$
• Quantum-Corrected Cardy Entropy for Generic 1+1-Dimensional Gravity
• Entropy of Isolated Horizons revisited
• Topological parameters in gravity
• BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
• Universal criterion for black hole stability
• Generalized Hawking-Page Phase Transition
• Entropy of Quantum Black Holes
• Anti-de Sitter black holes, perfect fluids, and holography
• The Microcanonical Entropy of Quantum Isolated Horizon, `quantum hair' $N$ and the Barbero-Immirzi parameter fixation
• Area law for black hole entropy in the SU(2) quantum geometry approach
• Bouncing universe of entropy-corrected Friedmann equations
• Quantum-Corrected Entropy for 1+1-Dimensional Gravity Revisited
• Black Hole Entropy from a Highly Excited Elementary String
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• Holography, Gauge-Gravity Connection and Black Hole Entropy
• Asymptotic Density of Open p-brane States with Zero-modes included
• Logarithmic Corrections in Black Hole Entropy Product Formula
• Classical corrections to black hole entropy in $d$ dimensions: a rear window to quantum gravity?
• A Logarithmic Correction in the Entropy Functional Formalism
• Canonical Partition function of Loop Black Holes
• On the black hole singularity issue in loop quantum gravity
• Semi-classical analysis of black holes in Loop Quantum Gravity: Modelling Hawking radiation with volume fluctuations
• Statistical analysis of entropy correction from topological defects in Loop Black Holes
• Holographic Bound on Area of Compact Binary Merger Remnant
• Thermal stability of radiant black holes
• Black hole state counting in loop quantum gravity
• Logarithmic Corrections to the Black Hole Entropy Product of ${\mathcal{H}}^{\pm }$ via Cardy Formula
• Entropy of Black Holes in N=2 Supergravity
• Quantum and classical areas of black hole thermodynamics
• Can Gravitational Wave Data Shed Light on Dark Matter Particles ?