Abstract
We give a brief overview of a formulation of the equations of general relativistic hydrodynamics, and one method for their numerical solution. The system of equations can be cast as first-order, hyperbolic system of conservation laws, following a explicit choice of an Eulerian observer and suitable vector of variables. We also present a brief overview of the numerical techniques used to solve this equation, providing an example of their applicability in one scenario of relativistic astrophysics namely, the quasi periodic oscillations of a thick accretion disk.
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Acknowledgments
This research was supported in part by DGAPA UNAM and FOMIX-CONACYT grant 149481. CM acknowledge PROSNI 2011 support.
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Degollado, J.C., Moreno, C. (2013). Relativistic Hydrodynamics and Dynamics of Accretion Disks Around Black Holes. In: Klapp, J., Medina, A., Cros, A., Vargas, C. (eds) Fluid Dynamics in Physics, Engineering and Environmental Applications. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27723-8_45
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DOI: https://doi.org/10.1007/978-3-642-27723-8_45
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