Hi Folks;

I had a rather simple question.

Suppose that a black hole with an invariant mass of say 10 solar masses is traveling inertially through space at a gamma factor of say 50 or at approximately 0.9998 C. Now consider the scenario where a black hole having a mass of say 0.01 solar mass is located directly in angular front of the 10 solar mass black hole but where the 0.01 solar mass black hole is essentially stationary with respect to the background interstellar medium. What would be the kinetic energy gain for the 10 solar mass black hole under the condition that the 10 solar mass black hole pulls the 0.01 mass black hole into the larger black hole's Event Horizon. Also, what is the general formula for such energy gains given a larger black hole of invariant mass Mo, traveling at a gamma factor of Go, for which a smaller black hole of mass M1, is located directly angularly infront of the larger black hole but where the smaller black hole is essentially stationary with respect to the black ground interstellar medium in which it is disposed. Note that I am assumming that the smaller black hole's initial seperation from the larger black hole while the larger black hole is traveling at the gamma factor of Go, is effectively infinity in the sense that an effective nearly maximum acceleration path is provided. I am also neglecting gravitational radiation generated by the collision since the larger black hole is several orders of magnitude greater in invariant mass than the smaller blackhole

Thanks;

Jim