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On null geodesically complete spacetimes under NEC and NGC: Is the Gao‐Wald "time dilation" a topological effect?
- Source :
-
Mathematical Methods in the Applied Sciences . 1/30/2020, Vol. 43 Issue 2, p747-749. 3p. - Publication Year :
- 2020
-
Abstract
- We review a theorem of Gao‐Wald on a kind of a gravitational "time delay" effect in null geodesically complete spacetimes under NEC and NGC, and we observe that it is not valid anymore throughout its statement, as well as a conclusion that there is a class of cosmological models where particle horizons are absent, if one substituted the manifold topology with a finer (spacetime) topology. Since topologies of the Zeeman‐Göbel class incorporate the causal, differential, and conformal structure of a spacetime and there are serious mathematical arguments in favour of such topologies and against the manifold topology, there is a strong evidence that "time dilation" theorems of this kind are topological in nature rather than having a particular physical meaning. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TIME dilation
*SPACETIME
*CAUSALITY (Physics)
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 43
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 141050420
- Full Text :
- https://doi.org/10.1002/mma.5956