Quasi-Equilibrium Sequences of Irrotational Binary Neutron Stars in General Relativity

Details Quasi-Equilibrium Sequences of Irrotational Binary Neutron Stars in General Relativity Quasi-Equilibrium Sequences of Irrotational Binary Neutron Stars in General Relativity

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.2299t&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

We present a numerical method to compute quasiequilibrium configurations of close binary neutron stars in the pre-coalescing stage. A hydrodynamical treatment is performed under the assumption that the flow is irrotational. As regards the gravitational field, an approximation of general relativity is used, which amounts to solve five of the ten Einstein equations (conformally flat spatial metric). The obtained system of partial differential equations is solved by means of a multi-domain spectral method. The computational domain covers the whole space so that exact boundary conditions are set to infinity. Extensive tests of the numerical code are performed, including comparisons with recent analytical solutions. Finally a constant baryon number sequence (evolutionary sequence) is presented for a polytropic equation of state.

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