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Author Tangherlini, F. R.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANGULAR MOMENTUM ♦ DENSITY ♦ ENERGY ♦ EQUATIONS ♦ FIELD THEORY ♦ GRAVITATION ♦ LORENTZ TRANSFORMATIONS ♦ MACH PRINCIPLE ♦ MASS ♦ MOMENTUM ♦ TENSORS ♦ VECTORS
Abstract It is suggested that the cosmological term kappa /sup -1/ LAMBDA g/sub i/sub n/i, wi th LAMBDA > 0, fulfills the basic requirements of a generally covariant energy-momentum tensor for the gravitational field. Justification is given for this hypothesis by studying the character of the field equations in the absence of the cosmological term; by a re-interpretation of the line element based on Mach's principle; and by calculating the gravitational proper energy for a de Sitter static universe with and without a Schwarzschild field present, showing that the difference is proportional to the Schwarzschild mass. Finally an attempt is made to define a true tensor for the angular momentum density. It is shown that this line of reasoning leads to a definition of "physical coordinates." These coordinates are determined in such a way that in the weakfield limit they approach the usual Lorentz coordinates. However, it is not possible to arrive at these coordinates by imposing coordinate conditions, since they form the components of a vector. To the extent that the angular momentum of the gravitational field is covariantly conserved, the coordinates may be obtained as the gradient of a world scalar that satisfies an inhomogeneous d'Alembertian equation. (auth)
ISSN 00296341
Educational Use Research
Learning Resource Type Article
Publisher Date 1961-04-01
Publisher Department Scuola di Perfezionamento in Fisica Teorica e Nucleare, Naples
Journal Nuovo Cimento
Volume Number 10
Issue Number 20
Organization Scuola di Perfezionamento in Fisica Teorica e Nucleare, Naples


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