Singularities of varying light speed cosmologies

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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7 pages, 2 figures, uses iop style files, to appear in the Proceedings of the Greek Relativity Meeting NEB12, June 29-July 2,

Scientific paper

10.1088/1742-6596/68/1/012019

We study the possible singularities of isotropic cosmological models that have a varying speed of light as well as a varying gravitational constant. The field equations typically reduce to two dimensional systems which are then analyzed both by dynamical systems techniques in phase space and by applying the method of asymptotic splittings. In the general case we find initially expanding closed models which recollapse to a future singularity and open universes that are eternally expanding towards the future. The precise nature of the singularities is also discussed.

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