Study of Anisotropic Black Branes in Asymptotically anti-de Sitter

Abstract

We investigate the four dimensional gravitational theories which admit homogeneous but anisotropic black brane solutions in asymptotically AdS space-time. The gravitational theories we consider are 1) Einstein-Maxwell-dilaton theory, and 2) Einstein-Maxwell-dilaton-axion theory with SL(2,R) symmetry. We obtain the solutions both analytically and numerically. Analytical solutions are obtained by perturbation from the isotropic solutions. Our solutions approach singular behavior at the horizon in the extremal limit but in non-extremal case, they are smooth everywhere. We also discuss how the third law of thermodynamics holds in our set-up.

31 pages, 12 figures

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• Building an AdS/CFT superconductor
• Effective Holographic Theories for low-temperature condensed matter systems
• Generalized Holographic Quantum Criticality at Finite Density
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• Holography of Dyonic Dilaton Black Branes
• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
• Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
• Helical superconducting black holes
• Spatially Modulated Phase in Holographic Quark-Gluon Plasma
• Domain Wall Holography for Finite Temperature Scaling Solutions
• Holography of charged dilatonic black branes at finite temperature

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