FLRW cosmology in Weyl-Integrable Space-Time

Details FLRW cosmology in Weyl-Integrable Space-Time FLRW cosmology in Weyl-Integrable Space-Time

2011-10-11

arxiv.org/abs/1110.2492v2

JCAP11(2011)051

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 figures, version published in JCAP

Scientific paper

10.1088/1475-7516/2011/11/051

We investigate the Weyl space-time extension of general relativity (GR) for studying the FLRW cosmology through focusing and defocusing of the geodesic congruences. We have derived the equations of evolution for expansion, shear and rotation in the Weyl space-time. In particular we consider the Starobinsky modification, $f(R)=R+\beta R^2-2\Lambda$, of gravity in the Einstein-Palatini formalism, which turns out to reduce to the Weyl integrable space-time (WIST) with the Weyl vector being a gradient. The modified Raychaudhuri equation takes the form of the Hill-type equation which is then analysed for studying formation of the caustics. In this model, it is possible to have a Big Bang singularity free cyclic Universe but unfortunately the periodicity turns out to be extremely short.

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