Open universes and avoidance of the cosmological singularity

Details Open universes and avoidance of the cosmological singularity Open universes and avoidance of the cosmological singularity

2000-02-21

arxiv.org/abs/gr-qc/0002071v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, latex, no figures, submitted to PRD. New important arguments have been added. Correspondingly the abstract has been

Scientific paper

In the present paper we give conclusive arguments pointing at physical equivalence among conformally related metrics. Based on the argument that any consistent effective theory of spacetime must be invariant under the one-parameter group of transformations of the units of length, time and reciprocal mass, it is shown, also, that canonical general relativity is not such a consistent theory. Conformal general relativity provides a consistent formulation of the laws of gravity instead. We further extend the results of papers gr-qc/9908075 and gr-qc/9905071 to open universes by studying the Raychaudhuri equation.

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