Dimensional analysis in relativistic gravitational theories

Details Dimensional analysis in relativistic gravitational theories Dimensional analysis in relativistic gravitational theories

Jan 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..15..370a&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 15, Jan. 15, 1977, p. 370-376. Research supported by the National Res

Physics

7

Dimensional Analysis, Gravitation Theory, Relativity, Axioms, Energy Transfer, Field Theory (Physics), Momentum Transfer, Newton Theory, Quantum Mechanics, Space-Time Functions, Tensor Analysis

Scientific paper

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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