RJ Emery said:
Why would gravitational waves be generated from the merging of two black holes or other types of mergers?
What is different about the physical characteristics of the merged entity compared to the sum total of the pre-merged entities?
energy, for one thing.
a lot of the energy in a binary system is dissipated as grav waves, as the two things spiral in towards each other faster and faster
so the combined BH object would not "weigh" as much as the sum of the two separate objects
circular motion involves fairly constant acceleration, and the acceleration of any sort of "charge" whether electrical or gravitational mass, produces waves in the corresponding field.
think about a circular radio-antenna
two compact objects spiraling in towards each other can actually dump quite a bit of their mass as waves
a head-on collision also involves a form of acceleration (namely DEceleration) so there are waves there too, just more of an abrupt pulse.
here is something fun to do:
google "moving charge" and it will send you here:
http://www.cco.caltech.edu/~phys1/java/phys1/MovingCharge/MovingCharge.html
officially, this is about a moving ELECTRIC charge but don't worry, it is really fun and gives the right idea.
at the upper right menu where it says "linear" change that to "circular"
and then press "go"
you will see the charge move in a circle and the waves will spread out, as if from a ciruclar antenna.
I think this Caltech thing is one of the simplest and greatest physics animations on the web.