Galaxy rotation curve in hyperconical universes: a natural relativistic MOND

Abstract

Modified Newtonian dynamics (MOND) and similar proposals can (at least partially) explain the excess rotation of galaxies or the equivalent mass-discrepancy acceleration, without (or by reducing) the requirement of dark matter halos. This paper develops a modified gravity model to obtain a local limit to general relativity (GR) compatible with a cosmological metric different from the standard Friedmann--Lema\^ıtre--Robertson--Walker metric. Specifically, the paper uses a distorted stereographic projection of hyperconical universes, which are 4D hypersurfaces embedded into 5D Minkowski spacetime. This embedding is a key in the MOND effects found in galactic scales. To adequately describe the mass-discrepancy acceleration relation, the centrifugal force would present a small time-like contribution at large-scale dynamics due to the curvature of the Universe. Therefore, the Lagrangian density is very similar to GR but with subtracting the background curvature (or vacuum energy density) of the perturbed hyperconical metric. Results showed that the proposed model adjusts well to 123 galaxy rotation curves obtained from the Spitzer Photometry and Accurate Rotation Curves database, using only a free parameter.

arXiv comment26 pages, 2 figures

References in corpus (53)

• A direct empirical proof of the existence of dark matter
• The Dynamics of General Relativity
• On the Origin of Gravity and the Laws of Newton
• Relativistic gravitation theory for the MOND paradigm
• High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Possible interaction between baryons and dark-matter particles revealed by the first stars
• The small scatter of the baryonic Tully-Fisher relation
• Dynamics with a non-standard inertia-acceleration relation: an alternative to dark matter
• Dark Matter Halo Profiles of Massive Clusters: Theory vs. Observations
• The Mass Discrepancy-Acceleration Relation: Disk Mass and the Dark Matter Distribution
• A new relativistic theory for Modified Newtonian Dynamics
• The dark matter crisis: falsification of the current standard model of cosmology
• The R_h = ct Universe
• The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum
• Support for the thermal origin of the Pioneer anomaly
• Panic! At the Disks: First Rest-frame Optical Observations of Galaxy Structure at $z>3$ with JWST in the SMACS 0723 Field
• Testing the Strong Equivalence Principle: Detection of the External Field Effect in Rotationally Supported Galaxies
• Stability of spherically symmetric solutions in modified theories of gravity
• Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
• Hamiltonian formulation of f(Riemann) theories of gravity
• Problems for MOND in Clusters and the Ly-alpha Forest
• Gravitational polarization and the phenomenology of MOND
• The Rotation Velocity Attributable to Dark Matter at Intermediate Radii in Disk Galaxies
• The mass discrepancy acceleration relation in a $\Lambda$CDM context
• High precision thermal modeling of complex systems with application to the flyby and Pioneer anomaly
• JWST early Universe observations and ΛCDM cosmology
• Cosmology and Convention
• Modelling the Pioneer anomaly as modified inertia
• Support for temporally varying behavior of the Pioneer anomaly from the extended Pioneer 10 and 11 Doppler data sets
• The distribution and morphologies of Fornax Cluster dwarf galaxies suggest they lack dark matter
• The massive relic galaxy NGC 1277 is dark matter deficient. From dynamical models of integral-field stellar kinematics out to five effective radii
• Asymmetrical tidal tails of open star clusters: stars crossing their cluster's prah challenge Newtonian gravitation
• The Zero Active Mass Condition in Friedmann-Robertson-Walker Cosmologies
• Can TeVeS avoid Dark Matter on galactic scales?
• The Cosmic Timeline Implied by the JWST High-redshift Galaxies
• Study of the Pioneer Anomaly: A Problem Set
• Diffeomorphism Invariance in the Hamiltonian formulation of General Relativity
• Result of the MICROSCOPE Weak Equivalence Principle test
• MOND and the Universal Rotation Curve: similar phenomenologies
• Distinguishing Dark Matter, Modified Gravity, and Modified Inertia with the Inner and Outer Parts of Galactic Rotation Curves
• Galaxy-Scale Test of General Relativity with Strong Gravitational Lensing
• The "Missing Mass Problem" in Astronomy and the Need for a Modified Law of Gravity
• The scaling relation between baryonic mass and stellar disc size of morphologically late-type galaxies
• A Comparison of the Baryonic Tully-Fisher Relation in MaNGA and IllustrisTNG
• Continuum-Mediated Dark Matter-Baryon Scattering
• Atmospheric dynamics of temperate sub-Neptunes. Part I: dry dynamics
• Pitfalls in applying gravitomagnetism to galactic rotation curve modelling
• Galaxy clusters in high definition: a dark matter search
• On the equivalence principle and gravitational and inertial mass relation of classical charged particles
• Study of the observational compatibility of an inhomogeneous cosmology with linear expansion according to SNe Ia
• Geometric interpretation of the dark energy from projected hyperconical universes
• The Gravito-Electromagnetic Approximation to the Gravimagnetic Dipole and its Velocity Rotation Curve

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