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Introduction to Numerical Relativity
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Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically highly-dynamical, strong-gravity scenarios where no other approximations are available. Here we describe some of the foundations of the field, starting from the covariant Einstein equations and how to write them as a well-posed system of evolution equations, discussing the different formalisms, coordinate conditions and numerical methods commonly employed nowadays for the modeling of gravitational wave sources.
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Cited by 2 Pith papers
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High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms
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Higher-derivative gravitational effective field theories are generically weakly hyperbolic
Any pure-metric higher-derivative gravity EFT with derivative-independent characteristics has a weakly hyperbolic physical spin-2 block that gauge fixing and constraint addition cannot remove.
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