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

Tidal tensors in the description of gravity and electromagnetism