Stability and the negative mode for Schwarzschild in a finite cavity

Abstract

It has been proposed that translationally-invariant black branes are classically stable if and only if they are locally thermodynamically stable. Reall has outlined a general argument to demonstrate this, and studied in detail the case of charged black p-branes in type II supergravity. We consider the application of his argument in the simplest non-trivial case, an uncharged asymptotically flat brane enclosed in a finite cylindrical cavity. In this simple context, it is possible to give a more complete argument than in the cases considered earlier, and it is therefore a particularly attractive example of the general approach.

12 pages, 3 figures; reference added and minor corrections

References in corpus (2)

• Classical and Thermodynamic Stability of Black Branes
• Stable Black Strings in Anti-de Sitter Space

Cited by in corpus (45)

• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• A new approach to static numerical relativity, and its application to Kaluza-Klein black holes
• 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
• Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons
• Quest for Localized 4-D Black Holes in Brane Worlds
• Unstable Horizons
• Ricci flow and black holes
• On Black-Brane Instability In an Arbitrary Dimension
• From Black Strings to Black Holes
• A numerical approach to finding general stationary vacuum black holes
• Evidence that highly non-uniform black strings have a conical waist
• The cosmological constant as an eigenvalue of f(R)-gravity Hamiltonian constraint
• Thermodynamic ensembles with cosmological horizons
• New Phases of Near-Extremal Branes on a Circle
• Phase transitions and critical behavior of black branes in canonical ensemble
• Instabilities of the Small Black Hole: a view from N=4 SYM
• Stability of five-dimensional rotating black holes projected on the brane
• Braneworld resonances
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture
• Thermodynamics of five-dimensional Schwarzschild black holes in the canonical ensemble
• Ricci-flat Metrics with U(1) Action and the Dirichlet Boundary-value Problem in Riemannian Quantum Gravity and Isoperimetric Inequalities
• Thermal Fluctuations Evolution of the New Schwarzschild Black Hole
• Thermodynamics of $d$-dimensional Schwarzschild black holes in the canonical ensemble
• Smeared branes and the Gubser-Mitra conjecture
• LG (Landau-Ginzburg) in GL (Gregory-Laflamme)
• Stability of BTZ black strings
• Schwarzschild Black Branes and Strings in higher-dimensional Brane Worlds
• Hawking--Page phase transitions of the black holes in a cavity
• Grand canonical ensemble of a $d$-dimensional Reissner-Nordström black hole in a cavity
• Thermodynamic and dynamical stability of Freund-Rubin compactification
• Classical Stability of Black D3-branes
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Schwarzschild-anti de Sitter within an Isothermal Cavity: Thermodynamics, Phase Transitions and the Dirichlet Problem
• Three-Charge Black Holes on a Circle
• On the dual relation in the Hawking--Page phase transition of the black holes in a cavity
• On the Stability of Black Strings/Branes
• Casimir effect and thermodynamics of horizon instabilities
• Threebrane Absorption and Emission from a Brane-Antibrane System
• The Joule--Thomson and Joule--Thomson-like effects of the black holes in a cavity
• Gibbons-Hawking action for electrically charged black holes in the canonical ensemble and Davies' thermodynamic theory of black holes
• Termodinámica de agujeros negros y campos escalares
• The Canonical Ensemble Reloaded: The Complex-Stability of Euclidean quantum gravity for Black Holes in a Box