Depending on the energy deposition I can manage, it might also be a fun prank on the rest of the Earth.
If you did this near enough to earth with supermassive blackholes (had high enough “energy deposition” to the spacetime around earth), there would absolutely be noticeable physical effects.
Yes, likely the radius of this ripple would be massive enough to coat most of earth simultaneously, but if you’re looking away from or directly towards it, you’d probably notice some odd stuff going on.
Sure, you would need to make sure the oscillation frequency is low enough to be easily noticed and many many orders of magnitude stronger than the waves we typically detect, but if you can manage a period on the order of a second or more and just enough strength to bend light a little across the falling and rising edge of the wave, people on earth would likely be able to see the warping of space around them. Like imagine the stars or the moon looking like they are stuttering, jumping back and forth in the sky every-time a wave passes.
That would probably be an effective prank as it may cause various emotional effects on the inhabitants of earth who didn’t know what the hell was going on