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Some remarks on the Bel‐Robinson tensor
Author(s) -
Garecki Janusz
Publication year - 2001
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200111)10:11/12<911::aid-andp911>3.0.co;2-m
Subject(s) - metric tensor , physics , tensor (intrinsic definition) , stress–energy tensor , mathematical physics , general relativity , tensor field , interpretation (philosophy) , einstein tensor , gravitational field , tensor contraction , theoretical physics , riemann curvature tensor , lanczos tensor , introduction to the mathematics of general relativity , classical mechanics , tensor density , pure mathematics , quantum mechanics , mathematics , geometry , exact solutions in general relativity , numerical relativity , philosophy , curvature , linguistics , geodesic
In this paper we present our point of view on the correct physical interpretation of the Bel‐Robinson tensor within the framework of standard General Relativity (GR), i.e., within the framework of GR without supplementary elements like an arbitrary vector field, a distinguished tetrad field or a second metric. We show that this tensor arises as a consequence of the Bianchi identities and, in a natural manner, it is linked to the difference of the canonical gravitational energy‐momentum as calculated in normal coordinates in a small vicinity of their origin P and in the origin P.