Titlebook: Elements of Numerical Relativity and Relativistic Hydrodynamics; From Einstein‘ s Equ Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Ca Bo

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Black Hole Simulations,ell-tested evolution formalisms: the generalized harmonic one and Z4, from which BSSN can be derived by symmetry breaking. We have also presented a robust, cost-efficient, finite-difference scheme (FDOC), which is able to evolve smooth solutions, and a more sophisticated alternative (MUSCL), suitable for weak solutions.

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https://doi.org/10.1007/978-3-658-14891-1 models spacetime in a geometrical way: as a 4D manifold. The concept of manifold is just a generalization to the multidimensional case of the usual concept of a 2D surface. This will allow us to apply the well-known tools of differential geometry, the branch of mathematics which describes surfaces,

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https://doi.org/10.1007/978-3-531-91626-2he realistic scenarios involve some kind of matter. For instance, at large scales we have cosmological models, based on the isotropic distribution of dust (i.e., non-interacting particles). At intermediate scales there are galaxy models for dark matter, which has been modeled by using either dust or