Testing Yukawa-like potentials from f(R)-gravity in elliptical galaxies

Abstract

We present the first analysis of extended stellar kinematics of elliptical galaxies where a Yukawa--like correction to the Newtonian gravitational potential derived from f(R)-gravity is considered as an alternative to dark matter. In this framework, we model long-slit data and planetary nebulae data out to 7 Re of three galaxies with either decreasing or flat dispersion profiles. We use the corrected Newtonian potential in a dispersion-kurtosis Jeans analysis to account for the mass-anisotropy degeneracy. We find that these modified potentials are able to fit nicely all three elliptical galaxies and the anisotropy distribution is consistent with that estimated if a dark halo is considered. The parameter which measures the "strength" of the Yukawa-like correction is, on average, smaller than the one found previously in spiral galaxies and correlates both with the scale length of the Yukawa-like term and the orbital anisotropy.

7 pages, 3 figures. ApJ, accepted

References in corpus (21)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Observed properties of Dark Matter on small spatial scales
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• The Newtonian Limit of F(R) gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Dark energy and dark matter as curvature effects
• Cosmography of f(R) gravity
• Kinematic properties of early-type galaxy haloes using planetary nebulae
• The X-Ray Concentration-Virial Mass Relation
• The PN.S Elliptical Galaxy Survey: the dark matter in NGC 4494
• Dearth of dark matter or massive dark halo? Mass-shape-anisotropy degeneracies revealed by NMAGIC dynamical models of the elliptical galaxy NGC 3379
• Velocity dispersion around ellipticals in MOND
• The PN.S Elliptical Galaxy Survey: a standard LCDM halo around NGC 4374?
• A general solution in the Newtonian limit of f(R)- gravity
• Systematic biases on galaxy haloes parameters from Yukawa-like gravitational potentials
• The MOND Fundamental Plane
• Galaxy Models with Tangentially Anisotropic Velocity Distributions
• Remarks on the properties of elliptical galaxies in modified Newtonian dynamics
• Probing the dark matter issue in f(R)-gravity via gravitational lensing
• Weak-field limit of f(R)-gravity in three and more spatial dimensions

Cited by in corpus (41)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology
• Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
• Constraining the range of Yukawa gravity interaction from S2 star orbits
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
• Constraining $f(R)$ gravity by the Large Scale Structure
• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
• Galaxy rotation curves in $f(R,\varphi )$-gravity
• Systematic variations of central mass density slopes in early-type galaxies
• $f(R)$-gravity after the detection of the orbital precession of the S2 star around the Galactic centre massive black hole
• Constraining Extended Gravity Models by S2 star orbits around the Galactic Centre
• SPIDER - VI. The Central Dark Matter Content of Luminous Early-Type Galaxies: Benchmark Correlations with Mass, Structural Parameters and Environment
• Constraining f(R) gravity with PLANCK data on galaxy cluster profiles
• Early and late time cosmology: the $f(R)$ gravity perspective
• Screening mechanisms in hybrid metric-Palatini gravity
• On the nature of dark energy: the lattice Universe
• The black hole at the Galactic Center: observations and models
• A $f(R)$-gravity model of the Sunyaev-Zeldovich profile of the Coma cluster compatible with {\it Planck} data
• MOND and IMF variations in early-type galaxies from $ATLA{S}^{3D}$
• Neutron stars in Einstein-$\Lambda$ gravity: the cosmological constant effects
• Breaking the EOS-Gravity Degeneracy with Masses and Pulsating Frequencies of Neutron Stars
• External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity
• Light bending by a slowly rotating source in quadratic theories of gravity
• Elliptical galaxies kinematics within general relativity with renormalization group effects
• Einstein-non-linear Maxwell-Yukawa black hole
• Tracking the Local Group Dynamics by Extended Gravity
• Prospects for testing the inverse-square law and gravitomagnetism using quantum interference
• Addressing the Hubble tension in Yukawa cosmology?
• Unifying static analysis of gravitational structures with a scale-dependent scalar field gravity as an alternative to dark matter
• The central dark matter fraction of massive early-type galaxies
• Dynamics of dwarf galaxies in $f(R)$ gravity
• A Phase Space Diagram for Gravity
• Gravitational anomalies signaling the breakdown of classical gravity
• Antimatter Gravity and the Results of the ALPHA-g Experiment
• Probing Short Gravity using Temporal Lensing
• A note on cosmological features of modified Newtonian potentials
• Tests of Classical Gravity with Radio Pulsars
• Velocity dispersion of dark matter deficient ultra-diffuse galaxies: A case for modified gravity
• Probing $f(R)$ gravity with PLANCK data on cluster pressure profiles
• Limiting the Yukawa Gravity through the Black Hole Shadows of Sgr A* and M87*
• Dynamics of Dwarf Galaxies in Scalar-Tensor-Vector-Gravity