Solving the relativistic hydrodynamic equation in presence of magnetic field for phase transition in a neutron star

Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena

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16 pages, 4 figures

Scientific paper

Phase transition, from normal nuclear matter to quark matter, can take place inside a neutron star (NS) whose central density is of the order of 5-10 times normal nuclear matter saturation density ($n_0$). The transition is conjectured to occur via a conversion front, converting the neutron star to strange star. In this paper, we solve the relativistic hydrodynamic equations in presence of high magnetic field, usually present in NSs, for the conversion front. We have included the Lorentz force due to magnetic field in the energy momentum tensor by averaging over the polar angles. We find that for a initial dipolar field configuration of the magnetic field with a sufficiently high value at the surface, velocity of the front increases considerably.

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