Models of Relativistic Neutron Stars with Surface Crust

Jose Luis Blázquez Salcedo, Luis Manuel González Romero, Francisco Navarro Lérida

We study relativistic models of neutron stars in rigid rotation. Introducing a surface layer of matter on the edge of the star, we analyze, from an intrinsic point of view, the junction conditions that must be satisfied between the interior and exterior solutions of the Einstein equations. In our model, the transition pressure between the core and the crust of the neutron star, arise as an essential parameter in the description of a configuration. As an application of this formalism, we describe the glitch and the post-glitch of a Vela-type pulsar as a result of variations in the transition pressure, finding that these small changes are compatible with the expected temperature variations of the inner crust during glitch time.