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Electromagnetic Fields of Slowly Rotating Magnetized Stars in Braneworld

We study the dipolar magnetic field configuration in dependence on brane tension and present solutions of Maxwell equations in the internal and external background spacetime of a slowly rotating magnetized star in a Randall-Sundrum II type braneworld. The star is modelled as sphere consisting of perfect highly magnetized fluid with infinite conductivity and frozen-in dipolar magnetic field. With respect to solutions for electromagnetic fields found in the spacetime of slowly rotating star brane tension introduces enhancing corrections both to the interior and the exterior electromagnetic field. These corrections could be relevant for the electromagnetic fields of rotating magnetized compact objects as pulsars and magnetars and may provide the observational evidence for the brane tension through the modification of formula for magneto-dipolar emission which gives amplification of electromagnetic energy loss up to few orders depending on the value of the brane tension.

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