A Microscopic Model for the Black hole - Black string Phase Transition
arXiv:hep-th/0610069 · doi:10.1016/j.nuclphysb.2006.11.007
Abstract
Computations in general relativity have revealed an interesting phase diagram for the black hole - black string phase transition, with three different black objects present for a range of mass values. We can add charges to this system by `boosting' plus dualities; this makes only kinematic changes in the gravity computation but has the virtue of bringing the system into the near-extremal domain where a microscopic model can be conjectured. When the compactification radius is very large or very small then we get the microscopic models of 4+1 dimensional near-extremal holes and 3+1 dimensional near-extremal holes respectively (the latter is a uniform black string in 4+1 dimensions). We propose a simple model that interpolates between these limits and reproduces most of the features of the phase diagram. These results should help us understand how `fractionation' of branes works in general situations.
46 pages, 13 figures; v2: A reference corrected, graph lines thickened for clarity
References in corpus (47)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Black Strings and p-Branes are Unstable
- D-brane Approach to Black Hole Quantum Mechanics
- Black Hole Greybody Factors and D-Brane Spectroscopy
- The Instability of Charged Black Strings and p-Branes
- Comparing decay rates for black holes and D-branes
- D-branes and Fat Black Holes
- Nonextremal Black Hole Microstates and U-duality
- Correlation functions for M^N/S_N orbifolds
- Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
- On non-uniform black branes
- Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
- The Phase Transition between Caged Black Holes and Black Strings - A Review
- Statistical Entropy of Nonextremal Four-Dimensional Black Holes and U-Duality
- A critical dimension in the black-string phase transition
- Microscopic Entropy of N=2 Extremal Black Holes
- Topology change in General Relativity and the black-hole black-string transition
- Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
- Connecting black holes and black strings
- The quantum structure of black holes
- Black Holes on Cylinders
- Properties of Kaluza-Klein black holes
- Small Black Holes on Cylinders
- Excitations of D-strings, Entropy and Duality
- Black Hole Greybody Factors and Absorption of Scalars by Effective Strings
- Black Rings, Boosted Strings and Gregory-Laflamme
- New Phase Diagram for Black Holes and Strings on Cylinders
- A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes
- On Black-Brane Instability In an Arbitrary Dimension
- Statistical Entropy of Near Extremal Five-branes
- From Black Strings to Black Holes
- Phase Structure of Black Holes and Strings on Cylinders
- Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
- Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
- New nonuniform black string solutions
- Interacting Black Holes
- Evidence that highly non-uniform black strings have a conical waist
- Dynamics of Flux Tubes in Large N Gauge Theories
- New Phases of Near-Extremal Branes on a Circle
- Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order
- Emission rates, the Correspondence Principle and the Information Paradox
- Phases of Kaluza-Klein Black Holes: A Brief Review
- Analytic approximation to 5 dimensional Black Holes with one compact dimension
- LG (Landau-Ginzburg) in GL (Gregory-Laflamme)
- Thermodynamics of the Near-Extremal NS5-brane
- Three-Charge Black Holes on a Circle
- Emergence of the fuzzy horizon through gravitational collapse
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- Instabilities of Black Strings and Branes
- Komar Integrals in Higher (and Lower) Derivative Gravity
- Fractional Brane State in the Early Universe
- Black Holes in Higher-Dimensional Gravity
- On the Bekenstein-Hawking area law for black objects with conical singularities
- Multi-black hole configurations on the cylinder
- The Thermodynamics of Kaluza-Klein Black Hole/Bubble Chains
- The First Law for Boosted Kaluza-Klein Black Holes
- Rotating nonuniform black string solutions
- New instability of non-extremal black holes: spitting out supertubes
- Black Topologies Production in Extra Dimensions
- First Law and a Variational Principle for Static Asymptotically Randall-Sundrum Black Holes