DIFFERENTIABLE AND CAUSAL STRUCTURES OF SPACE-TIME

Journal article

An improved version is presented of Ehlers, Schild, and Pirani's axiomatization of the differentiable and causal structures of space-time. It is shown that, under certain physically reasonable axioms, the properties of freely falling particles and light signals define a causal and differentiable structure on space-time. Further, it is shown how the causal structure define a causal and differentiable structure light signals propagate along conformal null geodesics. Copyright © 1973 by the American Institute of Physics.

Authors: Woodhous, N

• Publication status: Published
• Journal: JOURNAL OF MATHEMATICAL PHYSICS
• Volume: 14
• Issue: 4
• Pages: 495-501
• Publication date: 1973-01-01
• DOI: 10.1063/1.1666344
• ISSN: 0022-2488