Phase Structure of Black Holes and Strings on Cylinders

Abstract

We use the (M,n) phase diagram recently introduced in hep-th/0309116 to investigate the phase structure of black holes and strings on cylinders. We first prove that any static neutral black object on a cylinder can be put into an ansatz for the metric originally proposed in hep-th/0204047, generalizing a result of Wiseman. Using the ansatz, we then show that all branches of solutions obey the first law of thermodynamics and that any solution has an infinite number of copies. The consequences of these two results are analyzed. Based on the new insights and the known branches of solutions, we finally present an extensive discussion of the possible scenarios for the Gregory-Laflamme instability and the black hole/string transition.

26 pages, 10 figures, v2: refs. added, minor corrections and additions

References in corpus (12)

• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Instability of Ultra-Spinning Black Holes
• Towards the Final Fate of an Unstable Black String
• New Phase Diagram for Black Holes and Strings on Cylinders
• From Black Strings to Black Holes
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Evidence that highly non-uniform black strings have a conical waist
• Black Holes in a Compactified Spacetime
• Playing with Black Strings
• Speculative generalization of black hole uniqueness to higher dimensions
• Initial Data for Black Holes and Black Strings in 5d
• Black Holes and Black Strings on Cylinders

Cited by in corpus (60)

• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• A critical dimension in the black-string phase 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
• Stability and Critical Phenomena of Black Holes and Black Rings
• Small Black Holes on Cylinders
• General Definition of Gravitational Tension
• On Black-Brane Instability In an Arbitrary Dimension
• 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
• Sequences of Bubbles and Holes: New Phases of Kaluza-Klein Black Holes
• Black string solutions with negative cosmological constant
• New Phases of Near-Extremal Branes on a Circle
• Black Holes in Higher-Dimensional Gravity
• Non-uniform black strings and the critical dimension in the $1/D$ expansion
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Phases and Stability of Non-Uniform Black Strings
• Holographic thermal field theory on curved spacetimes
• Analytic approximation to 5 dimensional Black Holes with one compact dimension
• On the stability of AdS black strings
• On non-uniform smeared black branes
• Stresses and Strains in the First Law for Kaluza-Klein Black Holes
• Bumpy black holes
• Thermodynamics of Squashed Kaluza-Klein Black Holes and Black Strings -- A Comparison of Reference Backgrounds --
• Crossing a large-$N$ phase transition at finite volume
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• Multi-black hole configurations on the cylinder
• Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation
• Quasilocal equilibrium condition for black ring
• Mass and Free energy in Thermodynamics of Squashed Kaluza-Klein Black Holes
• Rotating Black Holes on Kaluza-Klein Bubbles
• Smeared branes and the Gubser-Mitra conjecture
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• The Thermodynamics of Kaluza-Klein Black Hole/Bubble Chains
• The First Law for Boosted Kaluza-Klein Black Holes
• Rotating nonuniform black string solutions
• Self-similar critical geometries at horizon intersections and mergers
• A Microscopic Model for the Black hole - Black string Phase Transition
• Perturbative non uniform black strings in ${AdS}_6$
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Thermodynamics of the Near-Extremal NS5-brane
• Gregory-Laflamme and Superradiance encounter Black Resonator Strings
• Three-Charge Black Holes on a Circle
• Phases of Higher Dimensional Black Holes
• New stable phase of non uniform black strings in ${AdS}_d$
• Charged black holes in compactified spacetimes
• Superradiance and black resonator strings encounter helical black strings
• Sum Rule for the ADM Mass and Tensions in Planar AdS Spacetimes
• The Angular Tension of Black Holes
• First Law of p-brane Thermodynamics
• Black Topologies Production in Extra Dimensions
• The Gregory-Laflamme instability and non-uniform generalizations of NUT strings
• Non Uniform Black Strings and Critical Dimensions in $Ad{S}_d$
• First Law and a Variational Principle for Static Asymptotically Randall-Sundrum Black Holes
• The Black hole Black string phase transition in Einstein-Gauss-Bonnet gravity
• Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory
• Stability of AdS black strings