White hole- black hole interaction

Question

What if a white hole and a black hole of identical size, mass and rotation(same magnitude, opposite direction) meet each other head on?

 The white hole would try to push away the black hole and the black hole would try to suck in the white hole, and since they have identical properties, wouldn't the forces cancel out and form a stable system?
What would happen to a particle placed midway between this system?

And what would happen if they had the same rotation(direction and magnitude)?