Correct light deflection in Weyl conformal gravity

Carlo Cattani, Massimo Scalia, Ettore Laserra, Ivana Bochicchio, and Kamal K. Nandi
Phys. Rev. D 87, 047503 – Published 28 February 2013

Abstract

The conformal gravity fit to observed galactic rotation curves requires γ>0. On the other hand, the conventional method for light deflection by galaxies gives a negative contribution to the Schwarzschild value for γ>0, which is contrary to observation. Thus, it is very important that the contribution to bending should in principle be positive, no matter how small its magnitude is. Here we show that the Rindler-Ishak method gives a positive contribution to Schwarzschild deflection for γ>0, as desired. We also obtain the exact local coupling term derived earlier by Sereno. These results indicate that conformal gravity can potentially test well against all astrophysical observations to date.

  • Received 25 September 2012

DOI:https://doi.org/10.1103/PhysRevD.87.047503

© 2013 American Physical Society

Authors & Affiliations

Carlo Cattani1,*, Massimo Scalia2,†, Ettore Laserra1,‡, Ivana Bochicchio1,§, and Kamal K. Nandi3,4,∥

  • 1Department of Mathematics, University of Salerno, Via ponte Don Melillo, 84084 Fisciano, Italy
  • 2Department of Mathematics, University of Rome “La Sapienza”, Piazzale Aldo Moro, 00185 Rome, Italy
  • 3Department of Mathematics, University of North Bengal, Siliguri 734 013, India
  • 4Zel’dovich International Center for Astrophysics, 3A, October Revolution Street, Ufa 450000, Russia

  • *ccattani@unisa.it
  • Massimo.Scalia@uniroma1.it
  • elaserra@unisa.it
  • §ibochicchio@unisa.it
  • kamalnandi1952@yahoo.co.in

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Issue

Vol. 87, Iss. 4 — 15 February 2013

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