A Quasilocal Test of the Finiteness of the Universe

Details A Quasilocal Test of the Finiteness of the Universe A Quasilocal Test of the Finiteness of the Universe

1992-09-11

arxiv.org/abs/gr-qc/9209004v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4pages, plaintex

Scientific paper

The Cosmological Principle states that the universe is both homogeneous and isotropic. This, alone, is not enough to specify the global geometry of the spacetime. If we were able to measure both the Hubble constant and the energy density we could determine whether the universe is open or closed. Unfortunately, while some agreement exists on the value of the Hubble constant, the question of the energy density seems quite intractable. This Letter describes a possible way of avoiding this difficulty and shows that if one could measure the rate at which light-rays emerging from a surface expand, one might well be able to deduce whether the universe is closed.

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