English

Introduction to Numerical Relativity

General Relativity and Quantum Cosmology 2020-09-01 v1 Cosmology and Nongalactic Astrophysics

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.

Keywords

Cite

@article{arxiv.2008.12931,
  title  = {Introduction to Numerical Relativity},
  author = {Carlos Palenzuela},
  journal= {arXiv preprint arXiv:2008.12931},
  year   = {2020}
}

Comments

Accepted by Frontiers Astronomy and Space Sciences, invited review for the Research Topic "Gravitational Waves: A New Window to the Universe"

R2 v1 2026-06-23T18:10:43.130Z