AUTHOR=Palenzuela Carlos 

TITLE=Introduction to Numerical Relativity

JOURNAL=Frontiers in Astronomy and Space Sciences

VOLUME=7

YEAR=2020

URL=https://www.frontiersin.org/journals/astronomy-and-space-sciences/articles/10.3389/fspas.2020.00058

DOI=10.3389/fspas.2020.00058

ISSN=2296-987X

ABSTRACT=<p>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.</p>