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arXiv · 0912.1807

Magnetic Branes in Brans-Dicke-Maxwell Theory

A. Sheykhi·E. Ebrahimi
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Abstract

We present a new class of magnetic brane solutions in $(n+1)$-dimensional Brans-Dicke-Maxwell theory in the presence of a quadratic potential for the scalar field. These solutions are neither asymptotically flat nor (anti)-de Sitter. Our strategy for constructing these solutions is applying a conformal transformation to the corresponding solutions in dilaton gravity. This class of solutions represents a spacetime with a longitudinal magnetic field generated by a static brane. They have no curvature singularity and no horizons but have a conic geometry with a deficit angle $δ$. We generalize this class of solutions to the case of spinning magnetic brane with all rotation parameters. We also use the counterterm method and calculate the conserved quantities of the solutions.

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A. Sheykhi, E. Ebrahimi. 2009-12-09. Magnetic Branes in Brans-Dicke-Maxwell Theory. https://doi.org/10.1007/s10773-009-0223-7

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