Abstract

A hadronic to quark matter phase transition may occur inside neutron stars having the central densities of the order of three to ten times the normal nuclear matter saturation density (n0). The transition is expected to be a two-step process; transition from hadronic matter to two-flavour matter and two-flavour matter to β equilibrated charge neutral three-flavour matter. In this paper, we concentrate on the first step of the process and solve the relativistic hydrodynamic equations for the conversion front in the presence of a high magnetic field. The Lorentz force due to the magnetic field is included in the energy–momentum tensor by averaging over the polar angles. We find that for an initial dipole configuration of the magnetic field with a sufficiently high value at the surface, the velocity of the front increases considerably.

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