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Kundt geometries in higher-derivative gravity

Publication at Faculty of Mathematics and Physics |
2022

Abstract

Quadratic Gravity is one of the modified theories of gravity; its action contains additional terms quadratic in Riemann tensor and its contractions. We study Kundt metrics, defined geometrically by admitting non-expanding, non-twisting and non-shearing null geodesic congruence, in the framework of Quadratic Gravity.

We examine the special cases, namely the pp-waves and VSI spacetimes. Equations of geodesic deviation are calculated to provide means of physical interpretation.