An exact solution of Einstein’s equations which represents a pair of accelerating
and rotating black holes (a generalised form of the spinning C-metric) is presented.
The starting point is a form of the Plebanski–Demianski metric which, in addition
to the usual parameters, explicitly includes parameters which describe the acceleration
and angular velocity of the sources. This is transformed to a form which
explicitly contains the known special cases for either rotating or accelerating black
holes. Electromagnetic charges and a NUT parameter are included, the relation
between the NUT parameter l and the Plebanski–Demianski parameter n is given,
and the physical meaning of all parameters is clarified. The possibility of finding an
accelerating NUT solution is also discussed.