Researchers have constructed a new class of black hole solutions within Einstein-Maxwell theory, which describes spacetime in the presence of gravity and electromagnetism. These Petrov type D solutions feature non-null, fully non-aligned electromagnetic fields with respect to the black hole's geometry. The work extends the Ovcharenko-Podolský class of solutions by removing a previous parametrization restriction, introducing an additional independent charge parameter, $q$, which can be real or purely imaginary. This generalization allows for a richer description of charged black holes.
The key to this advancement lies in an adapted parametrization of the general Ovcharenko-Podolský solution. By relaxing a condition previously imposed in parametrizations, which was not strictly required by the field equations in shifted coordinates, the parameter $q$ is retained. For $q^2 \geq 0$, both the metric and electromagnetic field of these new solutions admit a smooth aligned limit to the charged Plebański-Demiański solution with $\Lambda=0$ and $e^2+g^2=q^2$. Angular conditions in the Griffiths-Podolský form were imposed to ensure that Killing horizon cross-sections possess spherical topology.
The resulting new class of solutions is an eight-parameter family, extending the previously known seven-parameter class. The remaining normalization condition is generically quartic, defining four distinct algebraic branches. The authors have provided explicit metrics and electromagnetic fields for non-twisting and $l=0$ twisting families, analyzing their black hole and acceleration horizons, extremality, and conicity. They also determined the effective-NUT-free branches and their degenerate cases. An explicit correspondence has been established between a non-accelerating, effective-NUT-free subclass and the Kerr-Newman-Bertotti-Robinson family, with its electromagnetic flux charges expressed in the new parameters. The $q^2 < 0$ sector includes the genuine uncharged Kerr-Bertotti-Robinson solution, recently identified.