Research report 2013 - Max Planck Institute for Gravitational Physics

From here to infinity on a single computer

Rinne, Oliver
Geometrische Analysis und Gravitation
When solving Einstein's equations numerically, one faces the problem of treating an infinite asymptotically flat spacetime with finite computing resources. Here a decomposition of spacetime into hyperboloidal surfaces approaching lightlike infinity is considered. Upon compactification the Einstein equations develop formally singular terms, which can nevertheless be evaluated explicitly. Based on this method, stable numerical evolutions of spacetimes containing black holes and gravitational waves or matter fields have been achieved.

For the full text, see the German version.

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