Publikace ÚTF

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.
typ:inproceedings
year:2017
files:
mg14.pdf (268.4 kB)

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