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Kerr-Schild-Kundt Metrics in Generic Gravity Theories with Modified Horndeski Couplings

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arxiv 2109.01244 v1 pith:K6KU7YNH submitted 2021-09-02 gr-qc hep-th

Metin Gurses , Yaghoub Heydarzade , Cetin Senturk This is my paper · ORCID
classification gr-qchep-th
keywords metricsfieldtheorieselectromagneticfieldsgravityhorndeskikerr-schild-kundt
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abstract

The Kerr-Schild-Kundt (KSK) metrics are known to be one of the universal metrics in general relativity, which means that they solve the vacuum field equations of any gravity theory constructed from the curvature tensor and its higher-order covariant derivatives. There is yet no complete proof that these metrics are universal in the presence of matter fields such as electromagnetic and/or scalar fields. In order to get some insight into what happens when we extend the "universality theorem" to the case in which the electromagnetic field is present, as a first step, we study the KSK class of metrics in the context of Modified Horndeski theories with Maxwell's field. We obtain exact solutions of these theories representing the $pp$-waves and AdS-plane waves in arbitrary $D$ dimensions.

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  1. K-essence sources of Kerr-Schild spacetimes

    gr-qc 2025-04 conditional novelty 6.0 of 10

    K-essence Lagrangians that can source Kerr-Schild spacetimes must be at most quadratic in the kinetic term, and linear when the congruence is autoparallel or when linearized solutions are also exact.

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