Magnetars as Highly Magnetized Quark Stars: an analytical treatment

Abstract: We present an analytical model of a magnetar as a high density magnetized quark bag. The effect of strong magnetic fields (B > 5 x 10^{16} G) in the equation of state is considered. An analytic expression for the Mass-Radius relationship is found from the energy variational principle in general relativity. Our results are compared with observational evidences of possible quark and/or hybrid stars.