3 citations · 5 across the 4 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
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…
math.DG2022★ 2 cited
Electrostatic system with divergence-free Bach tensor and non-null cosmological constant
Benedito Leandro, Róbson Lousa
We prove that three-dimensional electrostatic manifolds with divergence-free Bach tensor are locally conformally flat, provide that the electric field and the gradient of the lapse…