Gravitoelectromagnetism (GEM) : a group theoretical approach /
Gravitoelectromagnetism (GEM): A Group Theoretical Approach
Jairzinho Ramos Medina
Robert Gilmore, Ph.D.
We derive the field equations of GEM by using a vector formulation based on the weak field approximation
of Einstein’s theory and a new tensor formulation based on group theory and the spin
of the graviton. Both formulations are in free space and space with sources. The analogy in the
description of gravity and electromagnetism is shown in these field equations. The gravitational
field is decomposed into two fields: gravitoelectric and gravitomagnetic fields, which satisfy the
Maxwell-like field equations of GEM. In addition we obtain the wave equation of GEM by using
the differential operators divergence, curl and gradient in terms of Clebsch-Gordon coefficients. A
general wave equation for an irreducible tensor of rank j is also derived.
School Location:USA - Pennsylvania
Source Type:Master's Thesis
Keywords:physics electromagnetism gravitational fields
Date of Publication: