"TITLE","AUTHORS","SUBJECT","SUBJECT_RELATED","DESCRIPTION","PUBLISHER","AVAILABILITY","RESEARCH_ORG","SPONSORING_ORG","PUBLICATION_COUNTRY","PUBLICATION_DATE","CONTRIBUTING_ORGS","LANGUAGE","RESOURCE_TYPE","TYPE_QUALIFIER","JOURNAL_ISSUE","JOURNAL_VOLUME","RELATION","COVERAGE","FORMAT","IDENTIFIER","REPORT_NUMBER","DOE_CONTRACT_NUMBER","OTHER_IDENTIFIER","DOI","RIGHTS","ENTRY_DATE","OSTI_IDENTIFIER","PURL_URL" "Structure of the Einstein tensor for class-1 embedded space time","Krause, J [Universidad Central de Venezuela, Caracas]","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","","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.","","","","","Italy","1976-04-11","","English","Journal Article","","","32:2","Journal Name: Nuovo Cim., B; (Italy); Journal Volume: 32:2","","Medium: X; Size: Pages: 381-388","","","","Journal ID: CODEN: NCIBA","https://doi.org/","","2010-12-30","7130190",""