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Brans-Dicke-Maxwell Solutions for Higher Dimensional Static Cylindrical Symmetric Spacetime
In this paper, Brans-Dicke-Maxwell type vacuum solutions are considered for a
static cylindrically symmetric spacetime in arbitrary dimensions. Exact
solutions are obtained by directly solving the field equations for the case
where an azimuthal magnetic field is present. Other configurations such as
axial magnetic field case can be obtained by suitably relabeling the
coordinates. We have also considered conformally related "Einstein frame" to
relate the solutions we have obtained with the dilaton-Maxwell type solutions
that exist in the literature. We see that for a special case the general
solution we present reduces to Dilaton-Melvin spacetime. The General
Relativistic limit of these solutions are also discussed and we found that this
limit is different from the four dimensional case.Comment: 9 Pages, articl