Nonuniform black strings in various dimensions

Abstract

The nonuniform black strings branch, which emerges from the critical Gregory-Laflamme string, is numerically constructed in dimensions 6 <= D <= 11 and extended into the strongly non-linear regime. All the solutions are more massive and less entropic than the marginal string. We find the asymptotic values of the mass, the entropy and other physical variables in the limit of large horizon deformations. By explicit metric comparison we verify that the local geometry around the ``waist'' of our most nonuniform solutions is cone-like with less than 10% deviation. We find evidence that in this regime the characteristic length scale has a power-law dependence on a parameter along the branch of the solutions, and estimate the critical exponent.

32pp, 17 figs. v2: minor corrections to match the published version

References in corpus (25)

• Black Strings and p-Branes are Unstable
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• On non-uniform 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
• Understanding critical collapse of a scalar field
• Connecting black holes and black strings
• Relativistic Stars in Randall-Sundrum Gravity
• Towards the Final Fate of an Unstable Black String
• Properties of Kaluza-Klein black holes
• 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
• New nonuniform black string solutions
• Evidence that highly non-uniform black strings have a conical waist
• On Choptuik's scaling in higher dimensions
• Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order
• Phases of Kaluza-Klein Black Holes: A Brief Review
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution
• LG (Landau-Ginzburg) in GL (Gregory-Laflamme)

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• Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
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