We study the conversion of neutron matter into strange matter as a detonation wave. The detonation is assumed to originate from a central region in a spherically symmetric background of neutrons with a varying radial density distribution. We present self-similar solutions for the propagation of detonation in static and collapsing backgrounds of neutron matter. The solutions are obtained in the framework of general relativistic hydrodynamics, and are relevant for the possible transition of neutron into strange stars. Conditions for the formation of either bare or crusted strange stars are discussed.
It is shown that a conversion of neurons into strange quark matter in neutron stars is possible by means of a combustion process with a well-defined front. Conditions for the realization of a specific combustion mode, whether deflagration, detonation, or fast combustion, are discussed for several forms of the equations of state of neutron and strange matters.
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