
Accession Number : AD0700651
Title : LORENTZ INVARIANCE IN A GRAVITATIONAL FIELD,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Kirkwood,Robert L.
Report Date : JAN 1970
Pagination or Media Count : 22
Abstract : In any theory of gravity in which free particles move along the geodesics of a fourdimensional metric tensor, a particular class of metrics can be defined which correspond to the fields of Newton's theory of gravity. In these Newtonian fields the metric coefficients which describe intrinsic properties of space and time are clearly separated from those that describe the gravitational field. This separation suggests an invariance in the gravitational field which is quite similar to the usual Lorentz invariance of electromagnetism. The infinitesimal form of the generalized Lorentz transformation is determined by the fact that the threedimensional geometry remains Euclidean under the transformation. The finite form is determined so that the transformations form a group, and the group is found to be the usual Lorentz group. The transformation is then applied to fields that are not necessarily Newtonian. (Author)
Descriptors : (*FIELD THEORY, INVARIANCE), RELATIVITY THEORY, GRAVITY, TRANSFORMATIONS(MATHEMATICS), GROUPS(MATHEMATICS)
Subject Categories : Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE