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math.DG2026
Notes on a Cotton-type tensor for electrostatic systems
Róbson Lousa
We introduce a natural (0,3)-tensor associated with electrostatic systems in arbitrary dimensions. This tensor arises from the comparison between the Cotton and Weyl decompositions…
math.DG2026
Four-dimensional electrostatic system with harmonic (anti-)self-dual Weyl tensor
Robson Lousa
We investigate four-dimensional electrostatic systems arising as spatial factors of static Einstein--Maxwell spacetimes with cosmological constant. Assuming that the electric field…