Actually, it was Heaviside who first calculated the distortion of the electromagnetic fields of a moving charge.
One good thing about the General Theory of Relativity is that it provided an explanation for gravity. It was always a challenge to conventional physics to explain action at at distance without an interaction phenomenon. How does the earth know the sun is over there pulling on us? And how does the sun manage to grab the earth and yank it around without a string between the two?
Heaviside published the first serious post-Newtonian gravitational theory in 1893, his "A Gravitational and Electromagnetic Analogy" in Electromagnetic Theory Vol I. He introduced the concept of mass currents, gravitomagnetic fields, and gravity waves. Not coincidentally, Einstein's GR reduces to Heaviside's theory in the weak field limit.