Boliver said:
I read an article yesterday about the fastest moving pulsar yet detected. The Chandra X-ray observatory spied a pulsar in SNR MSH 11-61A and IGR J11014-6103 moving at approximately 6 million miles an hour. This raised the question in my mind of what would happen if this pulsar were to collide with a stellar sized black hole moving at such rate with respect to the black hole. Does a black hole have a "processing" rate where it converts hadrons into whatever the form of matter or energy is inside a black hole? Is the conversion instantaneous? Is it possible for a fast moving pulsar to blow right through a black hole because it is too big and moving too fast to eat? Or how about two black holes moving toward each other with a combined speed approaching the speed of light? Would the black holes collide like billiard balls? I hope these questions are not too naive but I am merely an arm-chair astro-physicist wannabe.
According to 'Exploring Black Holes' by Wheeler & Taylor, there are three types of in-falling radial plunger for a static black hole-
Drip (dropped from rest at [itex]r_o[/itex])
Rain (dropped from rest at infinity)
Hail (hurled inward at speed [itex]v_{far}[/itex] from a great distance)
The shell velocities ([itex]v_{shell}[/itex]) (i.e. the velocity measured at a specific radius) for each plunger are-
Drip
[tex]\left(1-\frac{2M}{r_o}\right)^{-1/2}\left(\frac{2M}{r}-\frac{2M}{r_o}\right)^{1/2}[/tex]
Rain
[tex]\left(\frac{2M}{r}\right)^{1/2}[/tex]
Hail
[tex]\left[\frac{2M}{r}+v_{far}^2\left(1-\frac{2M}{r}\right)\right]^{1/2}[/tex]
where [itex]M=Gm/c^2[/itex] (multiply by c for SI units). If you use the above equations, you'll see that regardless of whether an object is dropped from rest close to the event horizon or whether it approaches from a great distance at close to c, all objects cross the event horizon, relative to the EH, at c. These equations only apply to radii greater than 2M as there are no stable shells (or stable r) inside the event horizon.
For the velocity of an in-falling object as observed from infinity, multiply the above equations by [itex](1-2M/r)[/itex].