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- W4376122679 abstract "In this work, we study the existence of gradient CKVs in locally rotationally symmetric spacetimes, those CKVs in the subspace spanned by the tangent to observers' congruence and that of the preferred spatial direction, allowing us to provide a (partial) characterization of gradient conformally static (GCSt) LRS solutions. Irrrotational solutions with non-zero spatial twist admit an irrotational timelike gradient conformal Killing vector field and hence are GCSt. In the case that both the vorticity and twist vanish, we obtain the necessary and sufficient condition for the spacetime to admit a gradient CKV. This is given by a single wave-like PDE, whose solutions are in bijection to the gradient CKVs on the spacetime. We then introduce a characterization of these spacetimes as GCSt using the character of the divergence of the CKV, provided that the metric functions of the spacetimes obey certain inequalities." @default.
- W4376122679 created "2023-05-12" @default.
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- W4376122679 date "2023-05-08" @default.
- W4376122679 modified "2023-09-29" @default.
- W4376122679 title "Existence of gradient CKV and gradient conformally stationary LRS spacetimes" @default.
- W4376122679 doi "https://doi.org/10.48550/arxiv.2305.05148" @default.
- W4376122679 hasPublicationYear "2023" @default.
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