Magnetic Strings in Dilaton Gravity

Abstract

First, I present two new classes of magnetic rotating solutions in four-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potential. The first class of solutions yields a 4-dimensional spacetime with a longitudinal magnetic field generated by a static or spinning magnetic string. I find that these solutions have no curvature singularity and no horizons, but have a conic geometry. In these spacetimes, when the rotation parameter does not vanish, there exists an electric field, and therefore the spinning string has a net electric charge which is proportional to the rotation parameter. The second class of solutions yields a spacetime with an angular magnetic field. These solutions have no curvature singularity, no horizon, and no conical singularity. The net electric charge of the strings in these spacetimes is proportional to their velocities. Second, I obtain the ($n+1$)-dimensional rotating solutions in Einstein-dilaton gravity with Liouville-type potential. I argue that these solutions can present horizonless spacetimes with conic singularity, if one chooses the parameters of the solutions suitable. I also use the counterterm method and compute the conserved quantities of these spacetimes.

16 pages, no figure, references added, some minor corrections

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Cited by in corpus (22)

• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity
• Thermodynamics of charged topological dilaton black holes
• Thermodynamics of higher dimensional topological dilaton black holes with power-law Maxwell field
• Topological Born-Infeld-dilaton black holes
• 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 $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamics of charged rotating dilaton black branes with power-law Maxwell field
• Magnetic branes in Gauss-Bonnet gravity with nonlinear electrodynamics: correction of magnetic branes in Einstein-Maxwell gravity
• Three dimensional nonlinear magnetic AdS solutions through topological defects
• Three dimensional magnetic solutions in massive gravity with (non)linear field
• Rotating Black Holes in Einstein-Maxwell-Dilaton Gravity
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Topological Black Holes in Brans-Dicke-Maxwell Theory
• Topological Black Holes of Einstein-Yang-Mills dilaton Gravity
• Magnetic dilaton strings in anti-de Sitter spaces
• Charged rotating black holes in dilaton gravity
• Charged rotating dilaton black branes in AdS universe
• Thermodynamics of a class of non-asymptotically flat black holes in Einstein-Maxwell-Dilaton theory
• Asymptotically AdS Magnetic Branes in (n+1)-dimensional Dilaton Gravity
• Rotation curves and orbits in the scalar field dark matter halo spacetime