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An axiomatization of general relativity

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Abstract

An axiomatization of the general theory of relativity is proposed. The assumed philosophical background is critical realism. None of the “principles” commonly considered as founding the theory, such as (a) the equality of inertial and gravitational mass, (b) the principle of equivalence, (c) the principle of general covariance, (d) the geodesic postulate, and (e) Mach's principle, are taken as axioms in our system.

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Covarrubias, G.M. An axiomatization of general relativity. Int J Theor Phys 32, 2135–2154 (1993). https://doi.org/10.1007/BF00675025

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