Mass decomposition of SLACS lens galaxies in Weyl conformal gravity

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 SLACS on board the HST. 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 non-linear 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 ($M_{\ast }$) a positive contribution $+\gamma R$ contrary to the previous results in the literature, thereby resolving a long standing problem. The cause of the error is critically examined. 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. In quantitative detail, we observe that the ratios of luminous over total lens mass ($f^{\ast }$) 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 IMF favored on the ground of metallicity [Grillo,2009]. We shall also calculate the average dark matter density of individual galaxies within their respective Einstein spheres. 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.

arXiv comment32 pages, 4 figures, 2 tables

References in corpus (91)

• Stellar population synthesis at the resolution of 2003
• A Universal Density Profile from Hierarchical Clustering
• Galactic Stellar and Substellar Initial Mass Function
• The Structure of Cold Dark Matter Halos
• On the variation of the Initial Mass Function
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological parameters from SDSS and WMAP
• Evolutionary population synthesis: models, analysis of the ingredients and application to high-z galaxies
• The Structure of Dark Matter Haloes in Dwarf Galaxies
• Extra force in $f(R)$ modified theories of gravity
• Rotation Curves of Spiral Galaxies
• Can modified gravity explain accelerated cosmic expansion?
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Scalar-Tensor-Vector Gravity Theory
• The Sloan Lens ACS Survey. V. The Full ACS Strong-Lens Sample
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Alternatives to Dark Matter and Dark Energy
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Eddington's theory of gravity and its progeny
• Born-Infeld-Einstein Actions?
• Dark energy and dark matter as curvature effects
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Spherical symmetry in $f(R)$-gravity
• Scalar Fields as Dark Matter in Spiral Galaxies
• Lost & Found Dark Matter in Elliptical Galaxies
• Compact stars in Eddington inspired gravity
• Can the galactic rotation curves be explained in brane world models?
• Massive graviton as a testable cold dark matter candidate
• Charged gravastars admitting conformal motion
• Impact of a global quadratic potential on galactic rotation curves
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Spherical Scalar Field Halo in Galaxies
• New insights on the matter-gravity coupling paradigm
• Tidal dwarf galaxies as a test of fundamental physics
• An alternative approach to the galactic dark matter problem
• Structure of neutron, quark and exotic stars in Eddington-inspired Born-Infeld gravity
• Axion as a Cold Dark Matter candidate
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Comprehensive Solution to the Cosmological Constant, Zero-Point Energy, and Quantum Gravity Problems
• Galactic Potentials
• Classical tests for Weyl gravity: deflection of light and time delay
• Cold Dark Matter Models
• Perfect Fluid Dark Matter
• Fourth order Weyl gravity
• Testing Modified Newtonian Dynamics with Rotation Curves of Dwarf and Low Surface Brightness Galaxies
• Combining rotation curves and gravitational lensing: How to measure the equation of state of dark matter in the galactic halo
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Fitting dwarf galaxy rotation curves with conformal gravity
• Modelling galaxy halos using dark matter with pressure
• The role of Lambda in the cosmological lens equation
• Photometric mass and mass decomposition in early-type lens galaxies
• The Inflaton Field as Self-Interacting Dark Matter in the Braneworld Scenario
• Testing the MOND Paradigm of Modified Dynamics with Galaxy-Galaxy Gravitational Lensing
• Connecting early and late universe by $f(R)$ gravity
• Dissecting a galaxy: mass distribution of 2237+0305
• A New Independent Limit on the Cosmological Constant/Dark Energy from the Relativistic Bending of Light by Galaxies and Clusters of Galaxies
• Correct light deflection in Weyl conformal gravity
• Two-fluid dark matter models
• Generalization of Regular Black Holes in General Relativity to $f(R)$ Gravity
• Features of galactic halo in a brane world model and observational constraints
• Schwarzschild limit of conformal gravity in the presence of macroscopic scalar fields
• Projected central dark matter fractions and densities in massive early-type galaxies from the Sloan Digital Sky Survey
• Constraining Hořava-Lifshitz gravity by weak and strong gravitational lensing
• Weak Gravitational Lensing by Dark Clusters
• Large Scale Structure Formation in Eddington-inspired Born-Infeld Gravity
• New Constraints on Macroscopic Compact Objects as a Dark Matter Candidate from Gravitational Lensing of Type Ia Supernovae
• Cosmic relic abundance and f(R) gravity
• Cosmic acceleration as the solution to the cosmological constant problem
• New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis
• Light bending in the galactic halo by Rindler-Ishak method
• Probing the dark matter issue in f(R)-gravity via gravitational lensing
• The Vacuole Model: New Terms in the Second Order Deflection of Light
• Discovery of Strong Lensing by an Elliptical Galaxy at z=0.0345
• Remarks On The Spherical Scalar Field Halo In Galaxies
• Dynamics of a Dark Matter Field with a Quartic Self-Interaction Potential
• Comment on "Impact of a Global Quadratic Potential on Galactic Rotation Curves"
• Test of conformal gravity with astrophysical observations
• On generalized wormhole in the Eddington inspired Born-Infeld (EiBI) gravity
• The road to MOND--a novel perspective
• Revisiting perfect fluid dark matter: Observational constraints from our galaxy
• Gravitational Lensing and the Mass Distribution of Clusters
• Gravitational Lensing and Dark Structures
• Comment on "Problems with Mannheim's conformal gravity program"
• Constraint on dark matter central density in the Eddington inspired Born-Infeld (EiBI) gravity with input from Weyl gravity
• Conformal gravity and "gravitational bubbles"
• Upper Limit on the Central Density of Dark Matter in the Eddington inspired Born-Infield (EiBI) Gravity
• Intra--Galactic thin shell wormhole and its stability
• Attraction and Repulsion in Conformal Gravity

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