Most general type-D black hole and the accelerating Reissner-Nordstrom-NUT-(A)dS solution

The Plebanski-Demianski metric is commonly thought to describe the most general type D black hole in general relativity (possibly coupled with Maxwell electromagnetism), but in the form we know at the moment, it fails to include the elusive accelerating spacetimes with gravitomagnetic mass without angular momentum. We propose a very general type D metric, stemming from a binary black hole system, which represents a novel branch of the type D spacetimes: accelerating Kerr-Newman-NUT black hole with cosmological constant. It has straightforward limits to all the known type D black holes in the Einstein-Maxwell theory and in particular to the accelerating Reissner-Nordstrom-NUT solution, yet unknown in the literature.