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Mass decomposition of SLACS lens galaxies in Weyl conformal gravity

Alexander A. Potapov1,*, Ramil N. Izmailov2,†, and Kamal K. Nandi1,2,3,‡

  • 1Department of Physics & Astronomy, Bashkir State University, Sterlitamak Campus, Sterlitamak 453103, Bashkortostan, Russia
  • 2Zel’dovich International Center for Astrophysics, M. Akmullah Bashkir State Pedagogical University, Ufa 450000, Bashkortostan, Russia
  • 3Department of Mathematics, University of North Bengal, Siliguri 734 013, India

  • *potapovaa2008@rambler.ru
  • †izmailov.ramil@gmail.com
  • ‡kamalnandi1952@yahoo.co.in
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Phys. Rev. D 93, 124070 – Published 28 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.124070

Abstract

We study here, using the Mannheim-Kazanas solution of Weyl conformal theory, the mass decomposition in the representative subsample of 57 early-type elliptical lens galaxies of the Sloan Lens Advanced Camera for Surveys (SLACS) on board the Hubble Space Telescope. We begin by showing that the solution need not be an exclusive solution of conformal gravity but can also be viewed as a solution of a class of f(R) gravity theories coupled to nonlinear electrodynamics thereby rendering the ensuing results more universal. Since lensing involves light bending, we shall first show that the solution adds to Schwarzschild light bending caused by the luminous mass (M*) a positive contribution +γR contrary to the previous results in the literature, thereby resolving a long-standing problem. The cause of the error is critically examined. Next, applying the expressions for light bending together with an input equating Einstein and Weyl angles, we develop a novel algorithm for separating the luminous component from the total lens mass (luminous+dark) within the Einstein radius. Our results indicate that the luminous mass estimates differ from the observed total lens masses by a linear proportionality factor across the subsample, which qualitatively agrees with the common conclusion from a number of different simulations in the literature. In quantitative detail, we observe that the ratios of luminous over total lens mass (f*) within the Einstein radius of individual galaxies take on values near unity, many of which remarkably fall inside or just marginally outside the specified error bars obtained from a simulation based on the Bruzual-Charlot stellar population synthesis model together with the Salpeter initial mass function favored on the ground of metallicity [Grillo et al., Astron. Astrophys. 501, 461 (2009)]. We shall also calculate the average dark matter density ⟨ρ⟩av of individual galaxies within their respective Einstein spheres. To our knowledge, the present approach, being truly analytic, seems to be the first of its kind attempting to provide a new decomposition scheme distinct from the simulational ones.

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Phys. Rev. D 93, 124070– Published 28 June, 2016
  • Received 29 April 2016

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