Asymptotically AdS Magnetic Branes in (n+1)-dimensional Dilaton Gravity
arXiv:1103.1774 · doi:10.1139/p11-114
Abstract
We present a new class of asymptotically AdS magnetic solutions in ()-dimensional dilaton gravity in the presence of an appropriate combination of three Liouville-type potentials. This class of solutions is asymptotically AdS in six and higher dimensions and yields a spacetime with longitudinal magnetic field generated by a static brane. These solutions have no curvature singularity and no horizons but have a conic geometry with a deficit angle. We find that the brane tension depends on the dilaton field and approaches a constant as the coupling constant of dilaton field goes to infinity. We generalize this class of solutions to the case of spinning magnetic solutions and find that, when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters. Finally, we use the counterterm method inspired by AdS/CFT correspondence and compute the conserved quantities of these spacetimes. We found that the conserved quantities do not depend on the dilaton field, which is evident from the fact that the dilaton field vanishes on the boundary at infinity.
15 pages
References in corpus (18)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Building an AdS/CFT superconductor
- Lectures on Holographic Superfluidity and Superconductivity
- Effective Holographic Theories for low-temperature condensed matter systems
- Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
- Hall conductivity from dyonic black holes
- Thermodynamics of charged topological dilaton black holes
- Einstein-Maxwell-Dilaton theories with a Liouville potential
- Topological Born-Infeld-dilaton black holes
- Thermodynamic instability of charged dilaton black holes in AdS spaces
- Thermodynamics of black holes in -dimensional Einstein-Born-Infeld dilaton gravity
- Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
- Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential
- Magnetic Strings in Einstein-Born-Infeld-Dilaton Gravity
- Magnetic Branes in -dimensional Einstein-Maxwell-dilaton gravity
- Charged rotating dilaton black strings in AdS spaces
- Topological Black Holes of Einstein-Yang-Mills dilaton Gravity
- Magnetic dilaton strings in anti-de Sitter spaces