Mass Discrepancy-Acceleration Relation in Einstein Rings

Abstract

We study the Mass Discrepancy-Acceleration Relation (MDAR) of 57 elliptical galaxies by their Einstein rings from the Sloan Lens ACS Survey (SLACS). The mass discrepancy between the lensing mass and the baryonic mass derived from population synthesis is larger when the acceleration of the elliptical galaxy lenses is smaller. The MDAR is also related to surface mass density discrepancy. At the Einstein ring, these lenses belong to high-surface-mass density galaxies. Similarly, we find that the discrepancy between the lensing and stellar surface mass density is small. It is consistent with the recent discovery of dynamical surface mass density discrepancy in disk galaxies where the discrepancy is smaller when surface density is larger. We also find relativistic modified Newtonian dynamics (MOND) can naturally explain the MDAR and surface mass density discrepancy in 57 Einstein rings. Moreover, the lensing mass, the dynamical mass and the stellar mass of these galaxies are consistent with each other in relativistic MOND.

7 pages, 4 figures

References in corpus (15)

• The Radial Acceleration Relation in Rotationally Supported Galaxies
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• Bimetric MOND gravity
• The Relation between Stellar and Dynamical Surface Densities in the Central Regions of Disk Galaxies
• A statistical investigation of the mass discrepancy-acceleration relation
• Galactic rotation curves, the baryon-to-dark-halo-mass relation and space-time scale invariance
• Universal MOND relation between the baryonic and `dynamical' central surface densities of disc galaxies
• MOND and the mass discrepancies in tidal dwarf galaxies
• Strong lensing probability for testing TeVeS theory
• MOND and the lensing Fundamental Plane: No need for dark matter on galaxy scales
• Understanding the internal dynamics of elliptical galaxies without non-baryonic dark matter
• The mass discrepancy acceleration relation in early-type galaxies: extended mass profiles and the phantom menace to MOND
• MOND and the dark baryons
• High-redshift rotation curves and MOND
• Dynamics of Elliptical Galaxies with Planetary Nebulae in Modified Newtonian Dynamics

Cited by in corpus (10)

• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
• The Radial Acceleration Relation in CLASH Galaxy Clusters
• The Imprint of Spiral Arms on the Galactic Rotation Curve
• Study of gravitational fields and globular cluster systems of early-type galaxies
• On the fundamentality of the radial acceleration relation for late-type galaxy dynamics
• Halo Acceleration Relation
• Mass-Velocity Dispersion Relation in HIFLUGCS Galaxy Clusters
• Gravitational lensing in a universe with matter and a cosmological constant
• New Analysis of Dark Matter in Elliptical Galaxies
• Peculiar dark matter halos inferred from gravitational lensing as a manifestation of modified gravity