Microcanonical description of (micro) black holes
arXiv:1101.1384 · doi:10.3390/e13020502
Abstract
The microcanonical ensemble is the proper ensemble to describe black holes which are not in thermodynamic equilibrium, such as radiating black holes. This choice of ensemble eliminates the problems, e.g. negative specific heat and loss of unitarity, encountered when the canonical ensemble is used. In this review we present an overview of the weaknesses of the standard thermodynamic description of black holes and show how the microcanonical approach can provide a consistent description of black holes and their Hawking radiation at all energy scales. Our approach is based on viewing the horizon area as yielding the ensemble density at fixed system energy. We then compare the decay rates of black holes in the two different pictures. Our description is particularly relevant for the analysis of micro-black holes whose existence is predicted in models with extra- spatial dimensions.
Review article published in Entropy special issue "Entropy in quantum gravity", editor R. Garattini
References in corpus (53)
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Hawking Radiation as Tunneling
- Black Holes at the LHC
- High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
- Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
- Black holes on the brane
- Brane-World Black Holes
- Black Holes and Sub-millimeter Dimensions
- Black Holes in Theories with Large Extra Dimensions: a Review
- A Secret Tunnel Through The Horizon
- Exact Description of Black Holes on Branes
- Black hole and brane production in TeV gravity: A review
- New black holes in the brane-world?
- Charged Brane-World Black Holes
- BlackMax: A black-hole event generator with rotation, recoil, split branes and brane tension
- Small localized black holes in a braneworld: Formulation and numerical method
- CHARYBDIS: A Black Hole Event Generator
- Can black holes and naked singularities be detected in accelerators?
- Quest for Localized 4-D Black Holes in Brane Worlds
- Bulk shape of brane-world black holes
- Braneworld stars and black holes
- Black Hole Remnants at the LHC
- Statistical Mechanics of Black Holes
- Black Hole Remnants in the Early Universe
- Quantum black holes with charge, colour, and spin at the LHC
- Catfish: A Monte Carlo simulator for black holes at the LHC
- Black Hole Evaporation and Compact Extra Dimensions
- Black Hole Evaporation and Large Extra Dimensions
- The decay-time of non-commutative micro-black holes
- Black holes in the brane world:Time symmetric initial data
- Braneworld black holes
- Phenomenology of Production and Decay of Spinning Extra-Dimensional Black Holes at Hadron Colliders
- Microfield Dynamics of Black Holes
- Analytic solution for a static black hole in RSII model
- Statistical Mechanics of Extended Black Objects
- Quantum Gravity Effects in Black Holes at the LHC
- Black Hole Relics in Large Extra Dimensions
- Possibility of Catastrophic Black Hole Growth in the Warped Brane-World Scenario at the LHC
- Conjectures on Non-Local Effects in String Black Holes
- Theoretical survey of tidal-charged black holes at the LHC
- Exploring the bulk of tidal charged micro-black holes
- Production of tidal-charged black holes at the Large Hadron Collider
- Dilatonic Black Holes, Naked Singularities and Strings
- Complete Semiclassical Treatment of the Quantum Black Hole Problem
- Braneworld Black Holes
- Statistical mechanics of Kerr-Newman dilaton black holes and the bootstrap condition
- Black Extended Objects, Naked Singularities and P-Branes
- Proper Field Quantization in Black Hole Spacetimes
- Affect of brane thickness on microscopic tidal-charged black holes
- Microcanonical treatment of black hole decay at the Large Hadron Collider
Cited by in corpus (18)
- Black Hole Remnants and the Information Loss Paradox
- Horizon wave-function for single localized particles: GUP and quantum black hole decay
- Zero Mass Remnant as an Asymptotic State of Hawking Evaporation
- Thermal corpuscular black holes
- Impacts of Generalized Uncertainty Principle on Black Hole Thermodynamics and Salecker-Wigner Inequalities
- A general framework to study the extremal phase transition of black holes
- Thermal BEC black holes
- Minimum length effects in black hole physics
- Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
- Brane-world black holes and the scale of gravity
- Black Hole Remnants at the LHC
- Superradiance by mini black holes with mirror
- Black-hole bombs at the LHC
- A Complementary Third Law for Black Hole Thermodynamics
- Microscopic black hole and uncertainty principle with minimal length and momentum
- The mechanism why colliders could create quasi-stable black holes
- Exact and approximate methods of calculating the sum of states for noninteracting classical and quantum particles occupying a finite number of modes
- On the origin of Phase Transitions in the absence of Symmetry-Breaking