Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon

Abstract

Electrically charged black holes with flat event horizon in anti-de Sitter space have received much attention due to various applications in Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, from modeling the behavior of quark-gluon plasma to superconductor. Crucial to the physics on the dual field theory is the fact that when embedded in string theory, black holes in the bulk may become vulnerable to instability caused by brane pair-production. Since dilaton arises naturally in the context of string theory, we study the effect of coupling dilaton to Maxwell field on the stability of flat charged AdS black holes. In particular, we study the stability of Gao-Zhang black holes, which are locally asymptotically anti-de Sitter. We find that for dilaton coupling parameter $\alpha$ > 1, flat black holes are stable against brane pair production, however for 0 < $\alpha$ < 1, the black holes eventually become unstable as the amount of electrical charges is increased. Such instability however, behaves somewhat differently from that of flat Reissner-Nordström black holes. In addition, we prove that the Seiberg-Witten action of charged dilaton AdS black hole of Gao-Zhang type with flat event horizon (at least in 5-dimension) is always logarithmically divergent at infinity for finite values of $\alpha$, and is finite and positive in the case $\alpha$ tends to infinity . We also comment on the robustness of our result for other charged dilaton black holes that are not of Gao-Zhang type.

Fixed some confusions regarding whether part of the discussions concern electrically charged hole or magnetically charged one. No changes to the results

References in corpus (13)

• Effective Holographic Theories for low-temperature condensed matter systems
• Holography of Dyonic Dilaton Black Branes
• When is g_{tt} g_{rr} = -1?
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Strange metals and the AdS/CFT correspondence
• Holography of charged dilatonic black branes at finite temperature
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions III -- Asymptotically AdS Black Holes with $k=\pm 1$ --
• Holographic non-relativistic fermionic fixed point by the charged dilatonic black hole
• Extremal black holes, gravitational entropy and nonstationary metric fields
• Black Hole Final State Conspiracies
• Charged Dilatonic Black Holes and their Transport Properties
• Fragile Black Holes
• Gravity/Spin-model correspondence and holographic superfluids

Cited by in corpus (9)

• Holographic Complexity Equals Which Action?
• Can the dynamics of test particles around charged stringy black holes mimic the spin of Kerr black holes?
• Effects of power-law Maxwell field on the Van der Waals like phase transition of higher dimensional dilaton black holes
• Holographic Thermalization in Charged Dilaton Anti-de Sitter Spacetime
• Dynamic phase transition of charged dilaton black holes
• When Is Holography Consistent?
• An alternative perspective to observe the critical phenomena of dilaton AdS black holes
• Universal entropy relations: entropy formulae and entropy bound
• Dynamics of domain wall in charged AdS dilaton black hole spacetime