Open Collections

Global simulation of the non-linear perturbations of a Schwarzschild black hole

Banff International Research Station for Mathematical Innovation and Discovery

It is well known that gravitational waves interact in a non-linear way. This makes it difficult to describe them rigorously. The cleanest description is based on a certain conformal invariance of the Einstein equations â a fact which was established by R. Penrose and was used by H. Friedrich to prove several important global results for general relativistic space-times. The so called conformal field equations implement this conformal invariance on the level of partial differential equations. They provide various well-posed initial (boundary) value problems for use in different situations. The talk will give a computational perspective on the non-linear interaction of plane gravitational waves and also present preliminary results of a simulation of the behaviour of an initially spherically symmetric black hole under the impact of a gravitational wave burst.

Mathematics; Relativity and gravitational theory; Partial differential equations; Global analysis

video/mp4

Author affiliation: University of Otago

2020-01-27

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/73387

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/