We propose that the \textit{post-glitch} epoch in a Vela-type pulsarcorresponds to a transition time in which the broken \textit{crust} isreadjusting its temperature and core-\textit{crust} transition pressure afterthe changes produced by the \textit{glitch}. To describe the evolution of thepulsar in this epoch we use a sequence of stationary and axisymmetricrelativistic models of slowly rotating neutron stars with a surface layer\textit{crust}. Previously, we have formulated the matching conditions on thesurface of the star in terms of physical properties (total mass of the star,core-\textit{crust} transition pressure,...).
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