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Solutions of the Field Equations and Possible Meaning of the Hermitian Theory of Relativity
Author(s) -
Antoci S.
Publication year - 1984
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19844960607
Subject(s) - minkowski space , theory of relativity , general relativity , hermitian matrix , physics , theoretical physics , gravitation , field (mathematics) , metric tensor , tensor (intrinsic definition) , field theory (psychology) , classical mechanics , mathematical physics , mathematics , mathematical analysis , pure mathematics , quantum mechanics , geodesic
A procedure is stated, which allows to build solutions of the Hermitian theory of relativity from known solutions of the general theory of relativity. Solutions depending on three co‐ordinates, built from Minkowski metric, as well as Hermitian generalizations of the Weyl‐Levi Civita solution are shown. They suggest that the imaginary part of the fundamental tensor may encompass fields of different physical behaviour, like the electromagnetic field and a field responsible for forces which do not depend on the distance between charges which cannot exist as individuals. In the generalizations of the Weyl‐Levi Civita solution these fields appear to be decoupled from gravitation in a peculiar way.