Bounding the Cosmological Constant using Galactic Rotation Curves from the SPARC Dataset

Abstract

Dark energy (and its simplest model, the Cosmological Constant or $\Lambda$) acts as a repulsive force that opposes gravitational attraction. Assuming galaxies maintain a steady state over extended periods, the estimated upper limit on $\Lambda$ studies its pushback to the attractive gravitational force of dark matter. From the SPARC dataset, we select galaxies that are best fitted by the Navarro-Frenk-White (NFW) and Hernquist density models. Introducing the presence of $\Lambda$ in these galaxies helps to establish the upper limit on its repulsive force. This upper limit on $\Lambda$ is around ${\rho }_{\left(<\Lambda \right)}\sim 10^{-25}$~kg/m${}^3$, only two orders of magnitude higher than the one measured by Planck. {We show that for galaxies with detectable velocities far from the galaxy core, the upper limit on $\Lambda$ is lower. Furthermore, we show that galaxies and other systems follow the same principle: for larger orbital periods the upper limit on $\Lambda$ is lower. Consequently, we address the implications for future measurements on the upper limit and the condition for detecting the impact of $\Lambda$ on galactic scales.

arXiv comment9 pages; 7 figures; Modified version;

References in corpus (67)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Universal Density Profile from Hierarchical Clustering
• The Cosmological Constant and Dark Energy
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The Aquarius Project: the subhalos of galactic halos
• Relativistic gravitation theory for the MOND paradigm
• The Diversity and Similarity of Simulated Cold Dark Matter Halos
• The Baryonic Tully-Fisher Relation
• Cosmological implications of baryon acoustic oscillation (BAO) measurements
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Analytical Models For Galactic Nuclei
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• PolyChord: nested sampling for cosmology
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• The small scatter of the baryonic Tully-Fisher relation
• Strong-field Gravity Tests with the Double Pulsar
• The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum
• Baryon Acoustic Oscillations and the Hubble Constant: Past, Present and Future
• Fitting galactic rotation curves with conformal gravity and a global quadratic potential
• Fitting the radial acceleration relation to individual SPARC galaxies
• Testing Feedback-Modified Dark Matter Haloes with Galaxy Rotation Curves: Estimation of Halo Parameters and Consistency with $\Lambda$CDM
• Testing the Strong Equivalence Principle: Detection of the External Field Effect in Rotationally Supported Galaxies
• The Relation between Stellar and Dynamical Surface Densities in the Central Regions of Disk Galaxies
• Second Order Scalar Invariants of the Riemann Tensor: Applications to Black Hole Spacetimes
• Calibrating the cosmic distance scale ladder: the role of the sound horizon scale and the local expansion rate as distance anchors
• Diversity of dark matter density profiles in the Galactic dwarf spheroidal satellites
• The Dark Matter Profiles in the Milky Way
• Updating the MACHO fraction of the Milky Way dark halo with improved mass models
• Cosmological constraints from baryon acoustic oscillations and clustering of large-scale structure
• The effect of an expanding universe on massive objects
• Addressing the missing matter problem in galaxies through a new fundamental gravitational radius
• The Mass-to-light Ratios and the Star Formation Histories of Disk Galaxies
• Dynamics of Nearby Groups of Galaxies: the role of the cosmological constant
• The quiescent Hubble flow, local dark energy tests, and pairwise velocity dispersion in a $\Omega =1$ universe
• The very local Hubble flow: computer simulations of dynamical history
• Testing Verlinde's Emergent Gravity with the Radial Acceleration Relation
• A constant characteristic volume density of dark matter haloes from SPARC rotation curve fits
• Hypervirial Models of Stellar Systems
• Galaxy rotation curves in modified gravity models
• Non-Friedmann cosmology for the Local Universe, significance of the universal Hubble constant and short-distance indicators of dark energy
• Model for Gravitational Interaction between Dark Matter and Baryons
• A common Milgromian acceleration scale in nature
• Determination of the Local Hubble Constant from Virgo Infall Using TRGB Distances
• Constraints on Chameleon f(R)-Gravity from Galaxy Rotation Curves of the SPARC Sample
• Imprints of Chameleon f(R) Gravity on Galaxy Rotation Curves
• The dark side of the torsion: Dark Energy from propagating torsion
• Interplay Between Gravity and Quintessence: A Set of New GR Solutions
• Dark energy domination in the Virgocentric flow
• The halo mass function of late-type galaxies from HI kinematics
• Torsional dark energy in quadratic gauge gravity
• A New Algorithm to Quantify Maximum Discs in Galaxies
• Constraining Dark Energy from Local Group dynamics
• The Hubble diagram for a system within dark energy: the location of the zero-gravity radius and the global Hubble rate
• Normalized additional velocity distribution: testing the radial profile of dark matter halos and MOND
• The Tight Empirical Relation between Dark Matter Halo Mass and Flat Rotation Velocity for Late-Type Galaxies
• A Very Simple Cusped Halo Model
• Weighing Milky Way and Andromeda in an expanding $\Lambda$CDM Universe: Decreasing the Local Group mass
• Dark energy domination in the local flow of giant galaxies
• Stellar Feedback and the Energy Budget of Late-Type Galaxies: Missing Baryons and Core Creation
• Torsion driving cosmic expansion
• Uncorrelated velocity and size residuals across galaxy rotation curves
• Testing multiflavored ULDM models with SPARC
• Dynamical Regularities in Galaxies
• Testing gravity with the Milky Way: Yukawa potential
• Dark Energy on Astrophysical Scales and Its Detection in the Milky Way
• Dark Energy as a Critical Period in Binary Motion: Bounds from Multi-scale Binaries

Cited by in corpus (1)

• On the Presence of Angular-Velocity Offsets in Disk Galaxies