Equations of Motion and Field Equations in the Five-Dimensional Unitary Theory of Relativity,
Abstract
In the general theory of relativity there are two different methods of deriving equations of motion from the field equations: on the one hand, the method of Einstein and Infeld and, on the other, the method of Fock. The difference between these two methods lies in certain differences in the views of these authors on the very essence of the general theory of relativity. Einstein and Infeld consider that all attempts to represent matter by the energy momentum tensor are unsatisfactory. . Therefore, they are concerned exclusively with field equations in empty space while representing matter as singularities of the field which must have some relation to the elementary particles of microphysics. Rock, on the contrary, considers that the general theory of relativity is a theory of gravitation alone which applies only to phenomena on an astronomical scale, and has no connection with microphysics, in which the gravitational field does not play an essential part. For this reason, Fock formulated a theory of 'finite masses' and introduced the energy momentum tensor into the field equations. In this paper we shall endeavor to show that these two views can be reconciled to a certain extent in the five dimensional 'unitary' theory of relativity. A new view on the whole problem is thus introduced.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1953
- Accession Number
- ADA322978
Entities
People
- R. S. Ingarden
Organizations
- National Science Foundation