From (Hidden) Symmetries to Stealth Solutions
classification
🌀 gr-qc
hep-th
keywords
stealthsolutionssymmetriesconformalconstructionhiddenkillingp-form
read the original abstract
In a recent paper, Arxiv:2605.23077, we have demonstrated that (conformal) Killing vectors give rise to stealth vector solutions of a specific bumblebee-type Proca theory supplemented by fine tuned curvature terms. Here we show that such a construction readily generalizes to hidden symmetries encoded in (conformal) Killing-Yano tensors, giving rise to the corresponding p-form stealth solutions. Similar to what happens with Killing vectors, the construction works on any background, providing a "physical visualization" of its symmetries. Several examples of spacetimes with so constructed p-form stealth hair are presented.
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