3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
On the geometry of electrovacuum spaces in higher dimensions
Maria Andrade, Benedito Leandro, Róbson Lousa
A classical question in general relativity is about the classification of regular static black hole solutions of the static Einstein-Maxwell equations (or electrovacuum system). In…