The conformal-to-Carter metric is the unique ansatz for the stated geometric conditions, and in Einstein-Maxwell theory the only non-trivial solutions are the Ovcharenko-Podolsky class for fully non-aligned non-null EM fields and the Plebański-Demiański class for double-aligned non-null EM fields.
Carter, Hamilton-Jacobi and Schrödinger separable solutions of Einstein’s equations, Com- mun
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Uniqueness of stationary axisymmetric type D black holes with non-aligned electromagnetic field
The conformal-to-Carter metric is the unique ansatz for the stated geometric conditions, and in Einstein-Maxwell theory the only non-trivial solutions are the Ovcharenko-Podolsky class for fully non-aligned non-null EM fields and the Plebański-Demiański class for double-aligned non-null EM fields.