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Numerical Relativity with the Conformal Field Equations

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Current Trends in Relativistic Astrophysics

Part of the book series: Lecture Notes in Physics ((LNP,volume 617))

Abstract

I discuss the conformal approach to the numerical simulation of radiating isolated systems in general relativity. The method is based on conformal compactification and a reformulation of the Einstein equations in terms of rescaled variables, the so-called “conformal field equations” developed by Friedrich. These equations allow to include “infinity” on a finite grid, solving regular equations, whose solutions give rise to solutions of the Einstein equations of (vacuum) general relativity. The conformal approach promises certain advantages, in particular with respect to the treatment of radiation extraction and boundary conditions. I will discuss the essential features of the analytical approach to the problem, previous work on the problem— in particular a code for simulations in 3+1 dimensions, some new results, open problems and strategies for future work.

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für Gravitationsphysik, 14476, Golm, Germany

    Sascha Husa

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  1. Sascha Husa
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Editors and Affiliations

  1. E.T.S.I.Navales, Universidad Politécnica de Madrid, Arco de la Victoria s/n, 28040, Madrid, Spain

    Leonardo Fernández-Jambrina

  2. Fac. Ciencias Físicas, Universidad Compluense de Madrid, Avenida Complutense s/n, 28040, Madrid, Spain

    Luis Manuel González-Romero

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Husa, S. (2003). Numerical Relativity with the Conformal Field Equations. In: Fernández-Jambrina, L., González-Romero, L.M. (eds) Current Trends in Relativistic Astrophysics. Lecture Notes in Physics, vol 617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36973-2_9

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  • DOI: https://doi.org/10.1007/3-540-36973-2_9

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  • Print ISBN: 978-3-540-01983-1

  • Online ISBN: 978-3-540-36973-8

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