München 2006 – wissenschaftliches Programm
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GR: Gravitation und Relativitätstheorie
GR 102: Mathematische Methoden
GR 102.3: Vortrag
Montag, 20. März 2006, 17:10–17:30, K
The Averaging Problem in General Relativity — •Juliane Behrend1, Otto Nachtmann1, and Thomas Richter2 — 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16 — 2Institut für Angewandte Mathematik, Universität Heidelberg, INF 293
We present a generally covariant averaging process which provides a possible way of smoothing spacetime geometry within the framework of general relativity. Such an averaging process is primarily needed for a correct description of the average dynamics of matter inhomogeneities in the universe. The process is visualized on the specific example of a perturbed two sphere, which involves the numerical solution of a partial differential equation by the aid of the simulation toolkit Gascoigne. The results are discussed particularly with regard to their possible cosmic relevance.