The Gauss{Bonnet gravity is a special case of so-called Quadratic

Gravity, which is an extension of Einstein's theory with additional terms in action

that are quadratic combinations of the Riemann tensor and its contractions. These

corrections are needed, for example, in perturbative quantum gravity. We consider

the family of Kundt spacetimes, which is dened in a purely geometrical way

by admitting a shear-free, twist-free and expansion-free null geodesic congruence.

In particular, we focus on the Kundt solutions without gyratonic terms, and we

investigate the constraints imposed by the Einstein{Gauss{Bonnet eld equations.

The conditions for the metrics to be of various algebraic types are also studied.

Gravity, which is an extension of Einstein's theory with additional terms in action

that are quadratic combinations of the Riemann tensor and its contractions. These

corrections are needed, for example, in perturbative quantum gravity. We consider

the family of Kundt spacetimes, which is dened in a purely geometrical way

by admitting a shear-free, twist-free and expansion-free null geodesic congruence.

In particular, we focus on the Kundt solutions without gyratonic terms, and we

investigate the constraints imposed by the Einstein{Gauss{Bonnet eld equations.

The conditions for the metrics to be of various algebraic types are also studied.

typ: | inproceedings |
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year: | 2016 |