The Copernican Principle in Compact Spacetimes

Details The Copernican Principle in Compact Spacetimes The Copernican Principle in Compact Spacetimes

2003-04-09

arxiv.org/abs/gr-qc/0304038v1

Mon.Not.Roy.Astron.Soc.346:615,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1046/j.1365-2966.2003.07117.x

Copernicus realised we were not at the centre of the universe. A universe made finite by topological identifications introduces a new Copernican consideration: while we may not be at the geometric centre of the universe, some galaxy could be. A finite universe also picks out a preferred frame: the frame in which the universe is smallest. Although we are not likely to be at the centre of the universe, we must live in the preferred frame (if we are at rest with respect to the cosmological expansion). We show that the preferred topological frame must also be the comoving frame in a homogeneous and isotropic cosmological spacetime. Some implications of topologically identifying time are also discussed.

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