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Probing the dark matter issue in f(R)-gravity via gravitational lensing

  • M. LubiniEmail author
  • C. Tortora
  • J. Näf
  • Ph. Jetzer
  • S. Capozziello
Regular Article - Theoretical Physics

Abstract

For a general class of analytic f(R)-gravity theories, we discuss the weak field limit in view of gravitational lensing. Though an additional Yukawa term in the gravitational potential modifies dynamics with respect to the standard Newtonian limit of General Relativity, the motion of massless particles results unaffected thanks to suitable cancellations in the post-Newtonian limit. Thus, all the lensing observables are equal to the ones known from General Relativity. Since f(R)-gravity is claimed, among other things, to be a possible solution to overcome for the need of dark matter in virialized systems, we discuss the impact of our results on the dynamical and gravitational lensing analyses. In this framework, dynamics could, in principle, be able to reproduce the astrophysical observations without recurring to dark matter, but in the case of gravitational lensing we find that dark matter is an unavoidable ingredient. Another important implication is that gravitational lensing, in the post-Newtonian limit, is not able to constrain these extended theories, since their predictions do not differ from General Relativity.

Keywords

Dark Matter Dark Energy Gravitational Potential Gravity Theory Ricci Scalar 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2011

Authors and Affiliations

  • M. Lubini
    • 1
    Email author
  • C. Tortora
    • 1
  • J. Näf
    • 1
  • Ph. Jetzer
    • 1
  • S. Capozziello
    • 2
    • 3
  1. 1.Institut für Theoretische PhysikUniversität ZürichZürichSwitzerland
  2. 2.Dipartimento di Scienze FisicheUniversità degli studi di Napoli “Federico II”NapoliItaly
  3. 3.INFN Sezione di NapoliComplesso Universitario di Monte S. AngeloNapoliItaly

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