Algebraic aspects of general non-twisting and shear-free spacetimes
Švarc, R; Podolský, J.
The algebraic structure, given by a null alignment of the Weyl tensor, of expanding
Robinson-Trautman and non-expanding Kundt geometries is analyzed in an arbitrary
dimension. Conditions for all possible algebraic types are identified in closed form. Since
the expansion parameter Θ is explicitly kept in all expressions, it can be simply set to
zero to obtain results for the Kundt class. Usefulness of these general results obtained
for all non-twisting and shear-free geometries in any metric theory of gravitation are
demonstrated on specific vacuum solutions to the Einstein field equations.
| type: | inproceedings |
|---|
| year: | 2017 |
|---|
| grants: | Spacetimes and Fields in Higher Dimensional and Classical Gravity, GAČR 203/12/0118 ; 2012-2016; hlavní řešitel: Jiří PodolskýVýzkum Země a vesmíru metodami teoretické, počítačové a experimentální fyziky; 2012-2017; řešitelé: David Vokrouhlický, Marek Wolf, Oldřich Semerák |
|---|