Varying speed of light cosmologies as two-dimensional dynamical systems

Details Varying speed of light cosmologies as two-dimensional dynamical systems Varying speed of light cosmologies as two-dimensional dynamical systems

Aug 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..62d3514b&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 62, Issue 4, 15 August 2000, id.043514

Mathematics

Logic

4

Scientific paper

We formulate the dynamics of Friedman-Robertson-Walker varying speed of light models as a two-dimensional Hamiltonian dynamical system. The shape of the potential and the existence of an energy first integral can be used to classify possible evolutions of VSL models. We show that an assumed (power-law) time dependence of the speed of light leads to a uniform evolution pattern of VSL models on two-dimensional phase space. We also formulate the criteria for solving the flatness and horizon problems in terms of the phase space and discuss the emerging patterns of evolution on respective phase portraits for all possible initial conditions. We argue that in the class of FRW VSL models filled with radiation open (K=-1) models with a positive cosmological constant Λ>0 are preferred from the point of view of the flatness and horizon problem avoidance.

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