Abstract
The statement in Rindler's book Essential Relativity (Springer-Verlag, New York, 1977, p. 119) claiming that metric coefficients are time-independent if light tracing out the same path always take the same coordinate time has two problems, the first one has been pointed out by us in a recent paper relation between choosing `good' coordinates and the behavior of light signals (Acta Physica Sinica (Overseas Ed), 3 (1994), 881), while the second is the main focus of the present article.
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