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Canonical pseudotensors, Sparling`s form and Noether currents

Abstract

The canonical energy - momentum and spin pseudotensors of the Einstein theory are studied in two ways. First they are studied in the framework of Lagrangian formalism. It is shown, that for first order Lagrangian and rigid basis description the canonical energy - momentum, the canonical spin, and the Noether current are tensorial quantities, and the canonial energy - momentum and spin tensors satisfy the tensorial Belinfante-Rosenfeld equations. Then the differential geometric unification and reformulation of the previous different pseudotensorial approaches is given. Finally, for any vector field on the spacetime an (m-1) form, called the Noether form is defined. (K.A.) 34 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
KFKI-1991-29/B
Reference Number:
SCA: 661100; PA: AIX-23:032548; SN: 92000710410
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LAGRANGIAN FIELD THEORY; SPIN; CURRENTS; DIFFERENTIAL GEOMETRY; SPACE-TIME; TENSORS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10135902
Research Organizations:
Hungarian Academy of Sciences, Budapest (Hungary). Central Research Inst. for Physics
Country of Origin:
Hungary
Language:
English
Other Identifying Numbers:
Other: ON: DE92624517; TRN: HU9214899032548
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
45 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Szabados, L B. Canonical pseudotensors, Sparling`s form and Noether currents. Hungary: N. p., 1991. Web.
Szabados, L B. Canonical pseudotensors, Sparling`s form and Noether currents. Hungary.
Szabados, L B. 1991. "Canonical pseudotensors, Sparling`s form and Noether currents." Hungary.
@misc{etde_10135902,
title = {Canonical pseudotensors, Sparling`s form and Noether currents}
author = {Szabados, L B}
abstractNote = {The canonical energy - momentum and spin pseudotensors of the Einstein theory are studied in two ways. First they are studied in the framework of Lagrangian formalism. It is shown, that for first order Lagrangian and rigid basis description the canonical energy - momentum, the canonical spin, and the Noether current are tensorial quantities, and the canonial energy - momentum and spin tensors satisfy the tensorial Belinfante-Rosenfeld equations. Then the differential geometric unification and reformulation of the previous different pseudotensorial approaches is given. Finally, for any vector field on the spacetime an (m-1) form, called the Noether form is defined. (K.A.) 34 refs.}
place = {Hungary}
year = {1991}
month = {Sep}
}