On null geodesically complete spacetimes under NEC and NGC: Is the Gao-Wald "time dilation" a topological effect?
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.
- Publication:
-
Mathematical Methods in the Applied Sciences
- Pub Date:
- January 2020
- DOI:
- 10.1002/mma.5956
- arXiv:
- arXiv:1904.12123
- Bibcode:
- 2020MMAS...43..747P
- Keywords:
-
- Mathematical Physics;
- General Relativity and Quantum Cosmology
- E-Print:
- doi:10.1002/mma.5956