Flrw cosmology in weyl-integrable space-time

RADOUANE GANNOUJI , Hemwati Nandan, Naresh Dadhich

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

1 Scopus citations

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
EditorsKjell Rosquist, Robert T. Jantzen, Remo Ruffini, Remo Ruffini
PublisherWorld Scientific
Pages1285-1287
Number of pages3
Edition210699
ISBN (Print)9789814612142
DOIs
StatePublished - 1 Jan 2015
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
Number210699

Conference

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

Keywords

  • Caustics formation
  • Modified gravity
  • Weyl space-time

Fingerprint Dive into the research topics of 'Flrw cosmology in weyl-integrable space-time'. Together they form a unique fingerprint.

Cite this