Gravity waves traveling at the speed of light.
They don't. They actually don't travel at all, really (like classical waves, they don't exist except as disruptions to the media in which they propagate). Gravity was nonlocal in classical physics in a way far more troubling than nonlocality in quantum physics. However, gravitational "waves" are produced locally via warping of spacetime:
"In the same way, in general relativity, Einstein’s field equations (1915) not only described the gravitational interaction via the spacetime curvature generated by mass-energy, but also contained, through the Bianchi identities, the equations of motion of matter and fields, and on their basis Albert Einstein, in 1916, a few months after the formulation of the theory, predicted the existence of curvature perturbations propagating with speed
c on a flat and empty spacetime; the gravitational waves"
Ciufolini, I., & Gorini, V. (2001). Gravitational waves, theory and experiment (an overview). In I. Ciufolini, V. Gorini, U. Moschella, & P. Fre, (Eds.)
Gravitational Waves (
Series in High Energy Physics, Cosmology and Gravitation) (pp. 1-10). IoP Press.
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We recorded some from an event which happened some 1.5 billion years ago. Fastest delivery.
It took 1.5 billion years for the signal to reach us. We record signals this fact every time we open our eyes.