On the Bel radiative gravitational fields

Abstract

We analyze the concept of intrinsic radiative gravitational fields defined by Bel and we show that the three radiative types, N, III and II, correspond with the three following different physical situations: {\it pure radiation}, {\it asymptotic pure radiation} and {\it generic} (non pure, non asymptotic pure) {\it radiation}. We introduce the concept of {\em observer at rest} with respect to the gravitational field and that of {\em proper super-energy} of the gravitational field and we show that, for non radiative fields, the minimum value of the relative super-energy density is the proper super-energy density, which is acquired by the observers at rest with respect to the field. Several {\it super-energy inequalities} are also examined.

15 pages; no figures; v2: minor changes

References in corpus (3)

• Unique characterization of the Bel-Robinson tensor
• On the algebraic types of the Bel-Robinson tensor
• Obtaining the Weyl tensor from the Bel-Robinson tensor

Cited by in corpus (6)

• Gravito-electromagnetic analogies
• A novel characterisation of gravitational radiation in asymptotically flat space-times
• Gravitomagnetism and the significance of the curvature scalar invariants
• Poynting vector, super-Poynting vector, and principal observers in electromagnetism and general relativity
• On the super-energy radiative gravitational fields
• Obtaining the multiple Debever null directions