Resumen

ALCUBIERRE, M. Introducción a la relatividad numérica. Rev. mex. fis. [online]. 2007, vol.53, suppl.2, pp.5-30. ISSN 0035-001X.

I present an introduction to the basic concepts of numerical relativity. Starting from a brief discussion of general relativity, I present the 3+1 formulation, which is the most widely used for numerical calculations in relativity. I introduce the concepts of foliation, spatial metric, gauge functions and extrinsic curvature, and discuss the splitting of Einstein's equations that result in the Arnowitt-Deser-Misner (ADM) equations. I also mention the existence of alternative formulations of the evolution equations and discuss the concept of hyperbolicity. Finally, I discuss the main ideas of finite difference approximations, which are the most common method used in numerical relativity.

Palabras llave : Numerical relativity.

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