De Sitter Space and Spatial Topology

Preprint

11 June 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9906040

Abstract

Morrow-Jones and Witt have shown that generic spatial topologies admit initial data that evolve to locally de Sitter spacetimes under Einstein's equations. We simplify their arguments, make them a little more general, and solve for the global time evolution of the wormhole initial data considered by them. Finally we give explicit examples of locally de Sitter domains of development whose universal covers cannot be embedded in de Sitter space.

Keywords

SPATIAL TOPOLOGY
TOPOLOGY MORROW
SITTER SPACE
MORROW JONES
EVOLUTION
EMBEDDED

All Related Versions

Version 1, 1999-06-11, ArXiv
Published version: Classical and Quantum Gravity, 16 (11), 3735.

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