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On Treder‐Type Tetrad Theories of Gravitation II. Treder's Tetrad Theories in Linear Approximation
Author(s) -
Bleyer U.
Publication year - 1982
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.19824940308
Subject(s) - tetrad , graviton , gauge theory , physics , mathematical physics , scalar field , classical field theory , introduction to gauge theory , antisymmetric tensor , scalar (mathematics) , gravitation , classical mechanics , theoretical physics , general relativity , mathematics , geometry
We consider some properties of T REDER'S tetrad theories, derived in I, using the field equations proposed by K ASPER and L IEBSCHER . The linearized theory is considered, because the field energy becomes positive, if the energy of the weak field is a positive one. Using the dynamical equations, the field equations lead for the symmetric part of the field to the gauge invariant field equations in Hilbert gauge and to corresponding equations for the antisymmetric part. This means that in this approximation the dynamical equations replace the gauge invariance and the tetrad field corresponds to a mixture of tensor and scalar gravitons. We discuss possible experiments for showing the existence of scalar gravitons and limiting the free parameter of the theory.