Classical Stability of Black D3-branes

Abstract

We have investigated the classical stability of charged black $D3$-branes in type IIB supergravity under small perturbations. For s-wave perturbations it turns out that black $D3$-branes are unstable when they have small charge density. As the charge density increases for given mass density, however, the instability decreases down to zero at a certain finite value of the charge density, and then black $D3$-branes become stable all the way down to the extremal point. It has also been shown that such critical value at which its stability behavior changes agrees very well with the predicted one by the thermodynamic stability behavior of the corresponding black hole system through the Gubser-Mitra conjecture. Unstable mode solutions we found involve non-vanishing fluctuations of the self-dual five-form field strength. Some implications of our results are also discussed.

19 pages, 3 figures

References in corpus (3)

• Stability of Higher-Dimensional Schwarzschild Black Holes
• Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture
• Universality classes for horizon instabilities

Cited by in corpus (14)

• Instabilities of Black Strings and Branes
• Blackfolds in Supergravity and String Theory
• Moduli Instability in Warped Compactifications of the Type IIB Supergravity
• Origin of black string instability
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• Smeared branes and the Gubser-Mitra conjecture
• New stable phase of non-uniform charged black strings
• Smeared D0 charge and the Gubser-Mitra conjecture
• Extraordinary vacuum black string solutions
• Geometrical properties of the trans-spherical solutions in higher dimensions
• Casimir effect and thermodynamics of horizon instabilities
• Cosmic D- and DF-strings from D3Dbar3: Black Strings and BPS Limit
• Geodesic motions in extraordinary string geometry
• Gravitational Instabilities of Uniform Black Strings in AdS