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Dissertation
Gravitoelectromagnetism (GEM): a group theoretical approach
Doctor of Philosophy (Ph.D.), Drexel University
Aug 2006
DOI:
https://doi.org/10.17918/etd-1123
Abstract
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.
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Details
- Title
- Gravitoelectromagnetism (GEM)
- Creators
- Jairzinho Ramos Medina - DU
- Contributors
- Robert Gilmore (Advisor) - Drexel University (1970-)
- Awarding Institution
- Drexel University
- Degree Awarded
- Doctor of Philosophy (Ph.D.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Resource Type
- Dissertation
- Language
- English
- Academic Unit
- College of Arts and Sciences; Physics; Drexel University
- Other Identifier
- 1123; 991014632316804721