Characteristic numerical relativity applied to hydrodynamic studies of neutron stars

Details Characteristic numerical relativity applied to hydrodynamic studies of neutron stars Characteristic numerical relativity applied to hydrodynamic studies of neutron stars

2000-11-27

arxiv.org/abs/gr-qc/0011096v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 6 figures, to appear in the proceedings (electronic version) of the Marcel Grossmann Meeting (MG9)

Scientific paper

We present tests and results of a new axisymmetric, fully general relativistic code capable of solving the coupled Einstein-matter system for a perfect fluid matter field. Our implementation is based on the Bondi metric, by which the spacetime is foliated with a family of outgoing light cones. We use high-resolution shock-capturing schemes to solve the fluid equations. The code can accurately maintain long-term stability of a spherically symmetric, relativistic, polytropic equilibrium model of a neutron star. In axisymmetry, we demonstrate global energy conservation of a perturbed neutron star in a compactified spacetime, for which the total energy radiated away by gravitational waves corresponds to a significant fraction of the Bondi mass.

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