Tidal tensors in the description of gravity and electromagnetism

Physics – Mathematical Physics

Scientific paper

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submitted to: Journal of Nonlinear Mathematical Physics

Scientific paper

10.1142/S1402925112500180

In 2008-2009, F. Costa and C. Herdeiro proposed a new gravito-electromagnetic
analogy, based on tidal tensors. We show that connections on the tangent bundle
of the space-time manifold can help not only in finding a covnenient
geometrization of their ideas, but also a common mathematical description of
the main equations of gravity and electromagnetism.

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