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Based on the 3+1 formalism for the formulation of an arbitrary reference frame and using the concept of electric and magnetic Weyl’s tensors, profound analogies between gravitational and electromagnetic field, its invariants, and specifically, among the energy-momentum field tensor in electromagnetic theory and Bel-Robinson’s (BR) or “super-energy” tensor in gravitation are established and discussed. In order to do that, original expressions for Weyl’s and BR’s tensors in terms of quasi-electric and quasi-magnetic fields were obtained. Furthermore, some theoretical consequences on the implications of the development of those analogies are outlined within the context of the yet to be directly proven experimental reality of gravitational waves. Resumen Basados en el formalism 3+1, con el cual es posible formular un sistema de referencia arbitrario en la Teoria General de la Relatividad TGR, establecemos profundas analogias entre los campos gravitacional y electromagnetico. Para lograrlo se obtuvieron nuevas expresiones para los invariantes gravitacionales y del tensor de Bel Robinson a traves de los campos de los tensores cuasi-electricos y cuasi-magneticos de Weyl en gravitacion. Adicionalmente, son brevemente discutidas algunas implicaciones teoricas de estas analogias en el contexto de la aun no verificada realidad experimental de las ondas gravitacionales.

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New Analogies Between Electromagnetic and Gravitational Fields Through the Bel-Robinson Tensor / Nuevas analogías entre los campos electromagnético y gravitacional a través del tensor de Bel-Robinson