Abstract
Gravitomagnetism is universally and formally recognised in contemporary physics as being the linear first-order approximation of Einstein’s field equations emerging from the General Theory of Relativity (GTR). Herein, we argue that, as has been done by others in the past, gravitomagnetism can be viewed as a fully-fledged independent theory of gravitomagnetism that can be divorced from Professor Einstein’s GTR. The gravitomagnetic theory whose exposition we give herein is exactly envisioned by Professor Maxwell and Dr. Heaviside. The once speculative Maxwell-Heaviside Gravitomagnetic theory now finds full justification as a fully fledged theory from Professor Jose Hera’s Existence Theorem which states that all that is needed for there to exist the four Max-well-type field equations is that a mass-current conservation law be obeyed. Our contribution in the present work, if any, is that we demonstrate conclusively that like electromagnetism, the gravitomagnetic phenomenon leads to the prediction of gravitomagnetic waves that travel at the speed of light. Further, we argue that for the gravitational phenomenon, apart from the Newtonian gravitational potential, there are four more potentials and these operate concurrently with the Newtonian potential. At the end of it, it is seen that the present work sets the stage for a very interesting investigation of several gravitational anomalies such as the ponderous Pioneer Anomaly, the vexing Flyby Anomalies, the mysterious Anomalous Rotation Curves of Spiral Galaxies and as well, the possibility of the generation of stellar magnetic fields by rotating gravitational masses.
Highlights
“The world which we have to build from the crude material is the world of perception, and the process of building must depend on the nature of the percipient.”
Taking the work of Professor Jefimenko one important and crucial step further, Professor José Hera [6] formulated an important Existence Theorem that states that, given any space and time-dependent localized scalar and vector sources satisfying the continuity equation—as is the case with gravitation and electromagnetism, there are two retarded fields that satisfy a set of four field equations
In his search for a causal theory of gravitation, Professor Einstein [16] [17] did at some point consider gravitomagnetism in the sense of a formal analogy of the gravitational phenomenon with Maxwell’s electrodynamics in much the same way Professor Maxwell [1] and Dr Heaviside [3] did
Summary
“The world which we have to build from the crude material is the world of perception, and the process of building must depend on the nature of the percipient.”. Taking the work of Professor Jefimenko one important and crucial step further, Professor José Hera [6] formulated an important Existence Theorem that states that, given any space and time-dependent localized scalar and vector sources satisfying the continuity equation—as is the case with gravitation and electromagnetism, there are two retarded fields that satisfy a set of four field equations. As is the case in physics, and assuming the conservation of mass, which in turn means the conservation of gravitational charge, there must be two vector fields (call them g and B ) that satisfy a set of four Maxwell-type equations. These four equations describe what is known as gravitomagnetism. We must state clearly that in this reading, we do not explore the resulting theory, i.e., test is predictions based on already well-known gravitational anomalies—this task we have left for future readings
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