The Final State of Black Strings and p-Branes, and the Gregory-Laflamme Instability

Abstract

It is shown that the usual entropy argument for the Gregory-Laflamme (GL) instability for $some$ appropriate black strings and $p$-branes gives surprising agreement up to a few percent. This may provide a strong support to the GL's horizon fragmentation, which would produce the array of higher-dimensional Schwarzschild-type's black holes finally. On the other hand, another estimator for the size of the black hole end-state relative to the compact dimension indicates a second order (i.e., smooth) phase transition for some $other$ appropriate compactifications and total dimension of spacetime wherein the entropy argument is not appropriate. In this case, Horowitz-Maeda-type's non-uniform black strings or $p$-branes can be the final state of the GL instability.

More emphasis on a second order phase transition. The computation result is unchanged

References in corpus (17)

• The evolution of unstable black holes in anti-de Sitter space
• Permeable conformal walls and holography
• Stability of Higher-Dimensional Schwarzschild Black Holes
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• On non-uniform black branes
• Fate of the Black String Instability
• Classical and Thermodynamic Stability of Black Branes
• A critical dimension in the black-string phase transition
• Black Holes on Cylinders
• Unstable Horizons
• Brane-Antibrane Systems at Finite Temperature and the Entropy of Black Branes
• On Black-Brane Instability In an Arbitrary Dimension
• The Operator Algebra and Twisted KZ Equations of WZW Orbifolds
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Stable Black Strings in Anti-de Sitter Space
• Black Holes in a Compactified Spacetime
• Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture

Cited by in corpus (12)

• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Stability and Critical Phenomena of Black Holes and Black Rings
• Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
• Black Rings, Boosted Strings and Gregory-Laflamme
• On Black-Brane Instability In an Arbitrary Dimension
• Equilibrium configurations of fluids and their stability in higher dimensions
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Phases and Stability of Non-Uniform Black Strings
• On the fate of black string instabilities: An Observation
• Dynamical instabilities and quasi-normal modes, a spectral analysis with applications to black-hole physics
• Black p-Branes versus black holes in non-asymptotically flat Einstein-Yang-Mills theory