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math.DG2024
Left-invariant Pseudo-Riemannian metrics on Lie groups: The null cone II
Sigbjørn Hervik
We continue to study left-invariant pseudo-Riemannian metrics on Lie groups being in the null cone of the -action using the moving bracket approach. In particular, the Lie…
gr-qc2024
Opening Pandora's box: Kundt solutions to Conformal Killing Gravity
Sigbjorn Hervik, Edmar G. Pantohan
We consider Kundt solutions to vacuum Conformal Killing Gravity (CKG) proposed by Harada and find numerous solutions in four dimensions and in higher dimensions. In CKG theory the…
math.DG2024
Left-invariant Pseudo-Riemannian metrics on Lie groups: The null cone
Sigbjorn Hervik
We study left-invariant pseudo-Riemannian metrics on Lie groups using the bracket flow of the corresponding Lie algebra. We focus on metrics where the Lie algebra is in the null co…