Wheeler's Gravitomagnetism Revisited I: A Purely Lorentz-Compton Approach to Vector Gravitational Waves and Trio-Holes

Abstract

A theory of vector gravitational waves is presented on the basis of an additional gravitational field, recovering ideas that go back to H. A. Lorentz, field that A. Wheeler called ``gravitomagnetism''. The theory is independent of Einstein's General Relativity Theory, but is consistent with the Einstein-Lorentz framework of Special Relativity, so that the resulting equations are considered exact from the start, and not approximations valid for velocities small compared with the speed of light. A simple model of mass formation and presence of angular momentum started with a new type of singularity, ``trio-holes'', is exhibited.