Formal analogies between gravitation and electrodynamics

Details Formal analogies between gravitation and electrodynamics Formal analogies between gravitation and electrodynamics

2008-07-17

arxiv.org/abs/0807.2777v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9pages, submitted to General Relativity and Gravitation

Scientific paper

We develop a theoretical framework that allows us to compare electromagnetism and gravitation in a fully covariant way. This new scenario does not rely on any kind of approximation nor associate objects with different operational meaning as it's sometime done in the literature. We construct the electromagnetic analogue to the Riemann and Weyl tensors and develop the equations of motion for these objects. In particular, we are able to identify precisely how and in what conditions gravity can be mapped to electrodynamics. As a consequence, many of the gemometrical tools of General Relativity can be applied to Electromagnetism and vice-versa. We hope our results would shed new light in the nature of electromagnetic and gravitational theories.

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