Titlebook: Rotating Objects and Relativistic Physics; Proceedings of the E F. J. Chinea,L. M. González-Romero Conference proceedings 1993 Springer-Ver

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General relativistic stationary axisymmetric rotating systems,Following the 3+1 formalism of General Relativity we write the Einstein equations for a stationary rotating neutron star specially suited to be solved numerically with spectral methods. We also provide the equations of motion to study the normal modes once the star is perturbed from the stationary axisymmetric equilibrium configuration.

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On the regularity of spherically symmetric static spacetimes,It is shown that the regularity of spherically symmetric static spacetimes is independent of the monotic behaviour of the equation of state and the isotropy of the pressure.

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Shock capturing methods in 1D numerical relativity,A numerical code is presented which uses modern shock capturing methods to evolve spherically symmetric perfect fluid space-times. Harmonic slicing is used to ensure singularity avoidance, which is crucial in strong field situations. Some tests are presented, including an application to the stellar collapse problem.

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Lecture Notes in Physicshttp://image.papertrans.cn/r/image/831834.jpg

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