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 1016 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.

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