Numerical hydrodynamics on light cones

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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8 pages, 3 figures, Contribution to the 19th Texas Symposium

Scientific paper

Characteristic methods show excellent promise in the evolution of single black hole spacetimes. The effective coupling with matter fields may help the numerical exploration of important astrophysical systems such as neutron star black hole binaries. To this end we investigate formalisms for numerical relativistic hydrodynamics which can be adaptable to null (characteristic) foliations of the spacetime. The feasibility of the procedure is demonstrated with one-dimensional results on the evolution of self-gravitating matter accreting onto a dynamical black hole.

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