Originally posted by wolram
...how can the destruction of a massive body make [space-time curvature]
oscilate, it implies some sort of bounce, but how can
space time bounce...
astute question as yours so often are
would you accept that two neutron stars circling each other could produce a rippling? I think so. Something going around and around is similar to something bouncing up and down---periodic motion.
an electric charge going around and around produces a radio wave---the gravity wave equations are not too different from the "bending" in the electric&magnetic fields that propagates as wave
but suppose the two neutron stars don't circle each other at all but just approach each other along a straight line and simply smash into each other?----kerblam, it's over.
that is like a one-time spark jumping a gap----no bounce, at least no obvious bounce in any simple sense: you charge two things and bring them close, and a spark jumps, and that's it, over.
but even the jumping of a spark sends out a radio wavelet, a brief click pulse. any time a charge of electricity ACCELERATES it sheds energy even if only in the form of a brief pulse, you can even pick up the crackles as static on the radio sometimes
and maybe wolram if you looked very closely at the neutron stars colliding you would actually see a bounce---the momentum of the collision causing a brief over-compression, which produces a rebound and so on----like the vibrations resulting from a traincrash
Maybe the essential thing is believing in the reality of the gravitational field (pictured as a bunch of arrows in space or as a curvature or however)---the gravitational field associated with two stars-----with two centers of attraction----is a different shape from the field associated with one star only. So when two things crash the field must CHANGE SHAPE. Field equations, whether EM or grav, are such that any time a field changes shape it causes a ripple effect as the information spreads out into the world, the information that at some locale the field has changed---that is all waves are:
waves don't have to be periodic, they can be one-timers, but what they are above all is the information spreading out that the field has undergone some change in some locale
just an oversimplification but may help answer yr question