Radius Constraint For A Magnetized Neutron Star

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Wave Generation And Sources, Neutron Stars, Relativity And Gravitation

Scientific paper

Isolated neutron stars undergoing non-radial oscillations are expected to emit gravitational waves. Radius determinations have improved in recent years with the discovery of a class of isolated neutron stars. The direct and indirect influence of the magnetic fields on gravitational wave perturbations has been also investigated. On this work, starting from the Einstein-Maxwell equations, we develop a general-relativistic model for the interior of a magnetized neutron star. We show that for a source constituted on a magneto-fluid distribution, there exists a class of interior solutions for which the metric and consequently the physical quantities depend on the magnetic field. For a neutron star with uniform density, we find a direct correspondence between the neutron star radius and the internal magnetic field. Following the dependence of the metric and of the physical parameters on the magnetic field we conclude that the mass is magnetic in origin and state the contribution of the magnetic field, as a magnetic mass, to the neutron star stability. From the requirements over the star pressure - at the origin and at the surface - we obtain a limitation of the magnetized star radius, which entirely depends on the magnetic field, standing for the essential contribution of the magnetic field to the stellar geometry.

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