Dimensional analysis in relativistic gravitational theories

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Abstract
Arguments based upon dimensional consistency and universally valid proportionalities lead to the axiom that physically significant quantities in a relativistic theory of gravitation must be invariant under a certain one-parameter group of scale transformations. When this axiom is applied in conjunction with the theory of tensorial concomitants, we find that given fairly general conditions the field equations of a metric relativistic gravitational theory must be those of Einstein's theory of general relativity.

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