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Structure of the Einstein tensor for class-1 embedded space time

Journal Article:

Abstract

Continuing previous work, some features of the flat embedding theory of class-1 curved space-time are further discussed. In the two-metric formalism provided by the embedding approach the Gauss tensor obtains as the flat-covariant gradient of a fundamental vector potential. The Einstein tensor is then examined in terms of the Gauss tensor. It is proved that the Einstein tensor is divergence free in flat space-time, i.e. a true Lorentz-covariant conservation law for the Einstein tensor is shown to hold. The form of the Einstein tensor in flat space-time also appears as a canonical energy-momentum tensor of the vector potential. The corresponding Lagrangian density, however, does not provide us with a set of field equations for the fundamental vector potential; indeed, the Euler-Lagrange ''equations'' collapse to a useless identity, while the Lagrangian density has the form of a flat divergence.
Authors:
Krause, J [1] 
  1. Universidad Central de Venezuela, Caracas
Publication Date:
Apr 11, 1976
Product Type:
Journal Article
Reference Number:
AIX-08-284572; EDB-77-040180
Resource Relation:
Journal Name: Nuovo Cim., B; (Italy); Journal Volume: 32:2
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SPACE-TIME; TENSORS; GENERAL RELATIVITY THEORY; GRAVITATIONAL FIELDS; LORENTZ TRANSFORMATIONS; METRICS; FIELD THEORIES; TRANSFORMATIONS; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation
OSTI ID:
7130190
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NCIBA
Submitting Site:
INIS
Size:
Pages: 381-388
Announcement Date:
Feb 01, 1977

Journal Article:

Citation Formats

Krause, J. Structure of the Einstein tensor for class-1 embedded space time. Italy: N. p., 1976. Web.
Krause, J. Structure of the Einstein tensor for class-1 embedded space time. Italy.
Krause, J. 1976. "Structure of the Einstein tensor for class-1 embedded space time." Italy.
@misc{etde_7130190,
title = {Structure of the Einstein tensor for class-1 embedded space time}
author = {Krause, J}
abstractNote = {Continuing previous work, some features of the flat embedding theory of class-1 curved space-time are further discussed. In the two-metric formalism provided by the embedding approach the Gauss tensor obtains as the flat-covariant gradient of a fundamental vector potential. The Einstein tensor is then examined in terms of the Gauss tensor. It is proved that the Einstein tensor is divergence free in flat space-time, i.e. a true Lorentz-covariant conservation law for the Einstein tensor is shown to hold. The form of the Einstein tensor in flat space-time also appears as a canonical energy-momentum tensor of the vector potential. The corresponding Lagrangian density, however, does not provide us with a set of field equations for the fundamental vector potential; indeed, the Euler-Lagrange ''equations'' collapse to a useless identity, while the Lagrangian density has the form of a flat divergence.}
journal = {Nuovo Cim., B; (Italy)}
volume = {32:2}
journal type = {AC}
place = {Italy}
year = {1976}
month = {Apr}
}