LG (Landau-Ginzburg) in GL (Gregory-Laflamme)

Abstract

This paper continues the study of the Gregory-Laflamme instability of black strings, or more precisely of the order of the transition, being either first or second order, and the critical dimension which separates the two cases. First, we describe a novel method based on the Landau-Ginzburg perspective for the thermodynamics that somewhat improves the existing techniques. Second, we generalize the computation from a circle compactification to an arbitrary torus compactifications. We explain that the critical dimension cannot be lowered in this way, and moreover in all cases studied the transition order depends only on the number of extended dimensions. We discuss the richer phase structure that appears in the torus case.

arXiv comment36 pages, 4 figures. Misprints corrected, journal version

References in corpus (17)

• Black Strings and p-Branes are Unstable
• On non-uniform black branes
• Classical and Thermodynamic Stability of Black Branes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• A critical dimension in the black-string phase transition
• Topology change in General Relativity and the black-hole black-string transition
• Connecting black holes and black strings
• Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter
• Black Holes on Cylinders
• Small Black Holes on Cylinders
• New Phase Diagram for Black Holes and Strings on Cylinders
• On Black-Brane Instability In an Arbitrary Dimension
• A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
• Stability and the negative mode for Schwarzschild in a finite cavity
• On non-uniform smeared black branes

Cited by in corpus (14)

• Instabilities of Black Strings and Branes
• Wrapped M5-branes, consistent truncations and AdS/CMT
• High and Low Dimensions in The Black Hole Negative Mode
• Nonuniform black strings in various dimensions
• Black Holes in Higher-Dimensional Gravity
• Stresses and Strains in the First Law for Kaluza-Klein Black Holes
• Black hole-black string phase transitions from hydrodynamics
• New stable phase of non-uniform charged black strings
• The Power of Action: "The" Derivation of the Black Hole Negative Mode
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
• A Microscopic Model for the Black hole - Black string Phase Transition
• The fate of black branes in Einstein-Gauss-Bonnet gravity
• On critical dimension in spherical black brane phase transition