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Summary: arXiv:0905.0789v2[gr-qc]29Sep2009
THE PROPAGATION OF WAVES IN EINSTEIN'S UNIFIED
FIELD THEORY AS SHOWN BY TWO EXACT
SOLUTIONS
SALVATORE ANTOCI
Abstract. The propagation of waves in two space dimensions exhibited
by two exact solutions to the field equations of Einstein's unified field
theory is investigated under the assumption that the metric sik is the one
already chosen by Kur¸sunoglu and by H´ely in the years 1952-1954. It is
shown that, for both exact solutions, with this choice of the metric the
propagation of the waves occurs in the wave zone with the fundamental
velocity (ds2
= 0).
1. Introduction
As soon as the independent, but concurrent efforts by Einstein and by
Schr¨odinger eventually led to the final mathematical formulation of what
may be respectively called the metric-affine [1, 2, 3, 4] and the purely affine
[5, 6, 7, 8] versions for the nonsymmetric generalization of Einstein's theory
of 1915, skilled theoreticians and geometers 1
undertook the difficult task of
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