The phase transition between caged black holes and black strings

2004/11/30 by Barak Kol · 187 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Phase transition #Physics #Quantum mechanics #Relativity and Gravitational Theory #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physrep.2005.10.001

published in Physics Reports 422(4), 119-165 (Elsevier BV) · 65 pages, 29 figures. v2: An updated version, improved presentation, accepted for publication in Phys. Rep

openalex publication_date 2005/11/29 · arxiv created 2005/11/30 · arxiv updated 2010/04/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Black hole uniqueness is known to fail in higher dimensions, and the multiplicity of black hole phases leads to phase transitions physics in General Relativity. The black-hole black-string transition is a prime realization of such a system and its phase diagram has been the subject of considerable study in the last few years. The most surprising results seem to be the appearance of critical dimensions where the qualitative behavior of the system changes, and a novel kind of topology change. Recently, a full phase diagram was determined numerically, confirming earlier predictions for a merger of the black-hole and black string phases and giving very strong evidence that the end-state of the Gregory-Laflamme instability is a black hole (in the dimension range 4<D<14). Here this progress is reviewed, illustrated with figures, put into a wider context, and the still open questions are listed.

Citations

• Speculative generalization of black hole uniqueness to higher dimensions
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Instability of charged black holes in anti-de Sitter space
• Schwarzschild field inn dimensions and the dimensionality of space problem
• Naked and thunderbolt singularities in black hole evaporation
• New phase diagram for black holes and strings on cylinders
• Black strings andp-branes are unstable
• Small localized black holes in a braneworld: Formulation and numerical method
• On non-uniform smeared black branes
• New Phases of Near-Extremal Branes on a Circle
• A positivity theorem for gravitational tension in brane spacetimes
• Black holes on cylinders are not algebraically special
• Thermodynamics of black holes in anti-de Sitter space
• Stability of a Schwarzschild Singularity

Cited by

• Kaluza-Klein black hole with negatively curved extra dimensions in string-generated gravity models
• A microscopic model for the black hole: Black string phase transition
• On a critical dimension in a spherical black brane phase transition
• Hagedorn Instability in Dimensionally Reduced Large-NGauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities
• Stresses and strains in the first law for Kaluza-Klein black holes
• New phases of thermal SYM and LST from Kaluza‐Klein black holes
• The Large D Limit of Einstein's Equations
• THE RETURN OF THE MEMBRANE PARADIGM? BLACK HOLES AND STRINGS IN THE WATER TAP
• The quantum structure of black holes
• QUASINORMAL MODES AND STABILITY OF A FIVE-DIMENSIONAL DILATONIC BLACK HOLE
• Thermodynamics of the near-extremal NS5-brane
• On the black hole species (by means of natural selection)
• Black holes as lumps of fluid
• Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM
• Stability of the warped black string with nontrivial topology in five-dimensional anti–de Sitter spacetime
• Black rings, boosted strings, and Gregory-Laflamme instability
• Gregory-Laflamme instability of 5D electrically charged black strings