FLRW cosmology in Weyl-integrable space-time

Radouane Gannouji, Hemwati Nandan, Naresh Dadhich

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9 Scopus citations


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+βR2-2Λ, 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 to study the 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.

Original languageEnglish
Article number051
JournalJournal of Cosmology and Astroparticle Physics
Issue number11
StatePublished - Nov 2011
Externally publishedYes


  • cosmic singularity
  • modified gravity


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