Magnetic Branes in Brans-Dicke-Maxwell Theory

TL;DR

This paper introduces a new class of magnetic brane solutions in higher-dimensional Brans-Dicke-Maxwell theory with a quadratic scalar potential, characterized by conic geometry and no horizons, extending to spinning cases with conserved quantities.

Contribution

It constructs novel magnetic brane solutions in Brans-Dicke-Maxwell theory using conformal transformation from dilaton gravity solutions, including spinning cases and conserved quantities calculation.

Findings

Solutions have no curvature singularities or horizons.

Solutions exhibit conic geometry with a deficit angle.

Conserved quantities are computed using the counterterm method.

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 $\delta$. 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.