Tidal tensors in the description of gravity and electromagnetism
arXiv:1111.1435 · doi:10.1142/S1402925112500180
Abstract
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.
submitted to: Journal of Nonlinear Mathematical Physics