In this Wikipedia paragraph suggesting an explanation for the phenomenon of inertia, it claims:
Another physicist, Vern Smalley, has derived the Lorentz transformation for mass by assuming that the gravitational field identified by Einstein is distorted during acceleration. Einstein's assumption was that the field would not be deformed during acceleration, but Smalley explored what happened if it was. He found that during acceleration, the gravitational field of a mass was compressed in the direction of the acceleration and rarefied in the opposite direction. The gravitational field potential of the mass was already propagating at the speed of light, and by forcing the field to move faster, it was resisting the acceleration by resisting compression and rarefaction. This resistance to acceleration is what we call inertia. Throughout the process of acceleration, even up to the speed of light, the total quantity of gravitational field material remains constant, but the shape of the field identifies the inertial mass. ref: Smalley, "Deriving Mass Inertia and Time Interval Dilation."
Who is Vern Smalley?
But, more importantly, are there any good references on the "gravitational" curvature of spacetime of a moving mass being distorted due to special relativity?