Flrw cosmology in weyl-integrable space-time

Radouane Gannouji, Hemwati Nandan, Naresh Dadhich

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We investigate the Weyl space-time extension of general relativity. We have derived the equations of evolution for expansion, shear and rotation. We have performed the study of the FLRW cosmology through focusing and defocusing of the geodesic congruences in the Weyl space-time. In particular, the Einstein-Palatini formalism turns out to reduce to a subclass of this spacetime, the Weyl integrable space-time (WIST). In this particular case we have considered the Starobinsky modification, f(R) = R + βR2 − 2Λ, of gravity in order 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
Title of host publicationOn Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
EditorsRobert T. Jantzen, Kjell Rosquist, Remo Ruffini, Remo Ruffini
PublisherWorld Scientific
Pages1285-1287
Number of pages3
ISBN (Print)9789814612142
DOIs
StatePublished - 2015
Externally publishedYes
Event13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 - Stockholm, Sweden
Duration: 1 Jul 20157 Jul 2015

Publication series

NameThe 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012
Volume0

Conference

Conference13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012
Country/TerritorySweden
CityStockholm
Period1/07/157/07/15

Keywords

  • Caustics formation
  • Modified gravity
  • Weyl space-time

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