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Paper IPM / Physic / 7270  


Abstract:  
We present two new classes of magnetic brane solutions in the EinsteinMaxwellGaussBonnet gravity with a negative cosmological constant. The first class of solutions yields an (n+1)dimensional spacetime with a longitudinal magnetic field generated by a static magnetic brane. We also generalize this solution to the case of spinning magnetic branes with one or more rotation parameters. We find that these solutions have no curvature singularity and no horizons, but have conic geometry. In these spacetimes, when all the rotation parameters are zero, the electric field vanishes, and therefore the brane has no net electric charge. For the spinning brane, when one or more rotation parameters are non zero, the brane has a net electric charge which is proportional to the magnitude of rotation parameter. The second class of the solutions yields a spacetime with angular magnetic field. These solutions have no curvature singularity, no horizon and no conical singularity. Again we find that the net electric charge of the branes in these spacetimes is proportional to the magnitude of the velocity of the brane. Finally we use the counterterm method in the GaussBonnet gravity and compute the conserved quantities of these spacetimes.
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