Understanding Galaxy Rotation Curves with Verlinde's Emergent Gravity

Abstract

We present the results from the analysis of galaxy rotation curves with Verlinde's emergent gravity. We use the data in the SPARC (Spitzer Photometry and Accurate Rotation Curves) database, which contains a sample of 175 nearby disk galaxies with 3.6 $\mu$m surface photometry and rotation curves. We compute the gravitational acceleration at different galactocentric radii expected from the baryon distribution of the galaxies with the emergent gravity, and compare it with the observed gravitational acceleration derived from galactic rotation curves. The predicted and observed accelerations agree well with a mean offset $\mu [\log ({\mathrm{g}}_{\mathrm{obs}})-\log ({\mathrm{g}}_{\mathrm{Ver}})]=-0.060\pm 0.004$ and a scatter $\sigma [\log ({\mathrm{g}}_{\mathrm{obs}})-\log ({\mathrm{g}}_{\mathrm{Ver}})]=0.137\pm 0.004$ by assuming a de Sitter universe. These offset and scatter become smaller when we assume a more realistic universe, quasi de Sitter universe, as $\mu =-0.027\pm 0.003$ and $\sigma =0.129\pm 0.003$. Our results suggest that Verlinde's emergent gravity could be a good solution to the missing mass problem without introducing dark matter.

arXiv comment11 pages, 2 figures. To appear in Classical and Quantum Gravity

References in corpus (30)

• Modified Gravity and Cosmology
• The Formation of Galactic Disks
• In the Realm of the Hubble tension $-$ a Review of Solutions
• On the Origin of Gravity and the Laws of Newton
• Small-Scale Challenges to the $\Lambda$CDM Paradigm
• The Baryonic Tully-Fisher Relation
• Test of the Equivalence Principle Using a Rotating Torsion Balance
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Emergent Gravity and the Dark Universe
• The Formation of Disk Galaxies
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• The small scatter of the baryonic Tully-Fisher relation
• Milky Way Mass Models and MOND
• Baryonic Tully-Fisher Relation for Extremely Low Mass Galaxies
• The DiskMass Survey. II. Error Budget
• Tully-Fisher Relation and its Implications for Halo Density Profile and Self-interacting Dark Matter
• Testing Verlinde's Emergent Gravity with the Radial Acceleration Relation
• The local Tully-Fisher relation for dwarf galaxies
• Gas dynamics in dwarf galaxies as testbeds for dark matter and galaxy evolution
• The different baryonic Tully-Fisher relations at low masses
• Verlinde's emergent gravity versus MOND and the case of dwarf spheroidals
• The Local Volume HI Survey: Galaxy Kinematics
• Fundamentals of the Dwarf Fundamental Plane
• The "Missing Mass Problem" in Astronomy and the Need for a Modified Law of Gravity
• Testing Emergent Gravity on Galaxy Cluster Scales
• Testing Emergent Gravity with Isolated Dwarf Galaxies
• Testing emergent gravity with mass densities of galaxy clusters
• Testing Emergent Gravity with Optical, X-ray, and Weak Lensing Measurements in Massive, Relaxed Galaxy Clusters
• Emergent gravity fails to explain color-dependent galaxy-galaxy lensing signals from SDSS Dr7