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General Relativity and Gravitation

, Volume 28, Issue 11, pp 1321–1334 | Cite as

Distinguishability of Weyl- from Lorentz-spacetimes by classical physical means

  • Udo Schelb
Research Articles

Abstract

Axiomatic physical derivations of the mathematical picture of spacetime used in General Relativity, which are based on the primitive concepts of free fall and light propagation, have led in a direct, convincing manner only to a Weyl spacetime; a further reduction to the usual Lorentzian manifold required postulates which are much less convincing. In this paper we present a new postulate within a more recent spacetime axiomatics, by which there the Lorentzian spacetime is reached in a different way. The theory is based on similar basic notions with more emphasis on clock parametrizations; no quantumtheoretical reasonings are used. A very natural construction of the spacetime metric is the basis for the postulate which is essentially a compatibility condition for parametrizations of worldlines. The result motivates a renewed search for a better way of reduction in the mentioned theories and can guide it.

Key words

Axiomatic approach to General Relativity 

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Udo Schelb
    • 1
  1. 1.Department of PhysicsUniversity of PaderbornPaderbornGermany

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