Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture

Abstract

We have investigated the classical stability of magnetically charged black $p$-brane solutions for string theories that include the case studied by Gregory and Laflamme. It turns out that the stability behaves very differently depending on a coupling parameter between dilaton and gauge fields. In the case of Gregory and Laflamme, it has been known that the black brane instability decreases monotonically as the charge of black branes increases and finally disappears at the extremal point. For more general cases we found that, when the coupling parameter is small, black brane solutions become stable even before reaching to the extremal point. On the other hand, when the coupling parameter is large, black branes are always unstable and moreover the instability does not continue to decrease, but starts to increase again as they approach to the extremal point. However all extremal black branes are shown to be stable even in this case. It has also been shown that main features of the classical stability are in good agreement with the local thermodynamic behavior of the corresponding black hole system through the Gubser-Mitra conjecture. Some implications of our results are also discussed.

19 pages, 3 figures, revtex

References in corpus (1)

• Playing with Black Strings

Cited by in corpus (24)

• Instability of Ultra-Spinning Black Holes
• Instabilities of Black Strings and Branes
• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• Dyonic AdS black holes from magnetohydrodynamics
• Origin of black string instability
• Negative modes and the thermodynamics of Reissner-Nordström black holes
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• On non-uniform smeared black branes
• Perturbations and Stability of Higher-Dimensional Black Holes
• Coupled Inflation and Brane Gases
• Smeared branes and the Gubser-Mitra conjecture
• New stable phase of non-uniform charged black strings
• Smeared D0 charge and the Gubser-Mitra conjecture
• Universality classes for horizon instabilities
• Thermodynamic and dynamical stability of Freund-Rubin compactification
• Classical Stability of Black D3-branes
• The Final State of Black Strings and p-Branes, and the Gregory-Laflamme Instability
• Non-spherically symmetric black string perturbations in the large D limit
• Casimir effect and thermodynamics of horizon instabilities
• Negative modes of Schwarzschild black hole in Einstein-Gauss-Bonnet Theory
• Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential
• Gravitational Instabilities of Uniform Black Strings in AdS
• Analytic evidence for the Gubser-Mitra conjecture
• Negative mode of Schwarzschild black hole from the thermodynamic instability