Speaker
Description
The 3+1 formalism is a method commonly used in numerical general relativity, based on a decomposition (foliation) of spacetime into a one-parameter family of spacelike hypersurfaces, which turns out to be possible for a wide class of spacetimes. This technique is very useful as it allows one to write equations that need to be solved (e.g. the Einstein equations) in a form convenient for computer treatment.
In my talk I will briefly describe the concept of foliation on the example of electrodynamics in axisymmetric spacetimes. In particular, I will show how from the Faraday tensor one can construct the electric and magnetic fields which live on the hypersurfaces and obey Maxwell’s equations. This picture leads, when combined with the plasma part, to the famous Grad-Shafranov equation, governing magnetohydrodynamical equilibria in accretion disks around rotating black holes.
| Field | Physics and Astronomy |
|---|---|
| Length | Long 20 min |
