{ "id": "2008.12931", "version": "v1", "published": "2020-08-29T07:51:58.000Z", "updated": "2020-08-29T07:51:58.000Z", "title": "Introduction to Numerical Relativity", "authors": [ "Carlos Palenzuela" ], "comment": "Accepted by Frontiers Astronomy and Space Sciences, invited review for the Research Topic \"Gravitational Waves: A New Window to the Universe\"", "doi": "10.3389/fspas.2020.00058", "categories": [ "gr-qc", "astro-ph.CO" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2020-08-29T07:51:58.000Z" } ], "analyses": { "keywords": [ "numerical relativity", "introduction", "gravitational wave sources", "covariant einstein equations", "computational methods" ], "tags": [ "review article", "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }