Event Details

Título: On the conservation of superenergy and its applications
Impartida por: Alfonso García-Parrado Gómez-Lobo (U. Praga)

In this work we present a geometric identity involving the Bel–Robinson tensor which is formally similar to the so-called Sparling identity (which involves the Einstein tensor through the Einstein 3-form). In our identity the Bel–Robinson tensor enters through the Bel–Robinson 3-form which, we believe, is introduced in the literature for the first time. The meaning of this identity is that it is possible to formulate a generic conservation law for the quantity represented by the Bel–Robinson tensor (superenergy). We also show how one can use the Bel–Robinson 3-form to estimate the components of the Bel–Robinson tensor which are computed with respect to the causal elements of a frame. This estimate could be useful in a global existence proof of the solutions of a theory of gravitation in dimension four.

07 de noviembre de 2019, 17:00, Seminario 1º planta del IEMath-GR