08:45 AM - 10:50 AM (125 min)

Introduction to Numerical Relativity

Helvi Witek (The University of Illinois Urbana Champaign)

Abstract: In this lecture I will give a brief overview on the theoretical foundations of numerical relativity. I will describe the 3+1 decomposition of spacetime and of Einstein’s equations. I will touch upon well-posedness of hyberbolic equations, mention well-posed formulations of Einstein’s equations and present suitable coordinate choices for stable numerical simulations.

The presentation should be taken as a brief overview and what-is-what of the topic. To study Numerical Relativity in depth, I recommend the excellent textbooks by M. Alcubierre 2008, Baumgarte & Shapiro 2010, Shibata 2015 and Baumgarte & Shapiro 2021.

slides: IntroNumericalRelativity_Lecture_26July2021-20210726_115857.pdf
recording: watch

During the presentation an number of authors that have worked on well-posedness of numerical relativity were mentioned. This is a partial list of more recent publications relevant for this:

Edit on GitHub