An equation satisfied by the tangent to a shear-free, geodesic, null congruence (Q1091615)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An equation satisfied by the tangent to a shear-free, geodesic, null congruence |
scientific article; zbMATH DE number 4011360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An equation satisfied by the tangent to a shear-free, geodesic, null congruence |
scientific article; zbMATH DE number 4011360 |
Statements
An equation satisfied by the tangent to a shear-free, geodesic, null congruence (English)
0 references
1987
0 references
The author presents a tensor equation which is satisfied by the tangent vector of a shear-free null geodesic congruence in general relativity. If the congruence is neither twist-free nor expansion-free, it is shown that this equation defines a second unique null direction. The consequences of this result are discussed and shown to be related to questions involving the construction of exact solutions of the Einstein equations.
0 references
geometry of congruences
0 references
shear-free null geodesic congruence
0 references
Einstein equations
0 references
