Brans-Dicke-Maxwell solutions for higher dimensional static cylindrical symmetric spacetime

Ciftci D. K. , DELİCE Ö.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.56, sa.7, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 56 Konu: 7
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1063/1.4926951


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 is also discussed and we found that this limit is different from the four dimensional case. (C) 2015 AIP Publishing LLC.