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.

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 |
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year: | 2017 |

grant: | Prostoročasy a pole ve vícerozměrné a klasické teorii gravitace, GAČR P203/12/0118 |

files: |
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mg14.pdf (268.4 kB) |