The magnetic field of the relativistic stars in the 5D approach

Abstract

It is well-known that the 5D equations without sources may be reduced to the 4D ones with sources, provided an appropriate definition for the energy-momentum tensor of matter in terms of the extra part of the geometry.The advantage consists on the naturally appearance of gravitational and electromagnetic fields from this decomposition. With this ansatz an algorithm is presented, which permits to express the physical parameters in terms of gauge potentials and scalar field. An explicit form for the exterior magnetic field of neutron star in terms of the scalar field and the gauge potentials is deduced for a static, spherically-symmetric metric.