Current Issues in Numerical Relativistic (Magneto-)Hydrodynamics

Physics

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Numerical Relativity, Relativity And Gravitation, Magnetohydrodynamics And Plasmas, Black Holes

Scientific paper

Astronomical observations have increased dramatically the number of astrophysical scenarios in which matter is evolving in presence of strong gravitational fields and/or reaches velocities near the speed of light. Stellar core collapse as a mechanism of hydrodynamical supernovae, relativistic jets inside collapsars or in the remnants of binary coalescing compact objects as a model of formation of gamma-ray bursts, relativistic jets associated to active galactic nuclei or microquasars, etc, are a few examples of these scenarios. Hence, modern Astrophysics is demanding the development of robust numerical multidimensional relativistic (magneto-)hydro-codes as tools to deep into the physical nature of those energetic phenomena.
Here I review the present status on the field of Numerical Relativistic (Magneto-) Hydrodynamics (RMHD), paying particular attention to their characteristic structure. The current extensions of Riemann solvers (exact and approximate ones) to the relativistic regime are discussed.

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