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arXiv · gr-qc/0011096

Characteristic numerical relativity applied to hydrodynamic studies of neutron stars

F. Siebel·J. A. Font·E. Mueller·P. Papadopoulos
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Abstract

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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F. Siebel, J. A. Font, E. Mueller, P. Papadopoulos. 2000-11-27. Characteristic numerical relativity applied to hydrodynamic studies of neutron stars. https://arxiv.org/abs/gr-qc/0011096

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