Gravitational orbits in the expanding universe revisited

Abstract

Modified Newtonian equations for gravitational orbits in the expanding universe indicate that local gravitationally bounded systems like galaxies and planetary systems are unaffected by the expansion of the Universe. This result is derived under the assumption of the space expansion described by the standard FLRW metric. In this paper, an alternative metric is applied and the modified Newtonian equations are derived for the space expansion described by the conformal FLRW metric. As shown by Vavryčuk (Frontiers in Physics, 2022), this metric is advantageous, because it properly predicts the cosmic time dilation and fits the SNe Ia luminosity observations with no need to introduce dark energy. Surprisingly, the Newtonian equations based on the conformal FLRW metric behave quite differently than those based on the standard FLRW metric. In contrast to the common opinion that local systems resist the space expansion, the results for the conformal metric indicate that all local systems expand according to the Hubble flow. The evolution of the local systems with cosmic time is exemplified on numerical modelling of spiral galaxies. The size of the spiral galaxies grows consistently with observations and a typical spiral pattern is well reproduced. The theory predicts flat rotation curves without an assumption of dark matter surrounding the galaxy. The theory resolves challenges to the $\Lambda$CDM model such as the problem of faint satellite galaxies, baryonic Tully-Fisher relation or the radial acceleration relation. Furthermore, puzzles in the solar system are successfully explained such as the Pioneer anomaly, the Faint young Sun paradox, the Moon's and Titan's orbit anomalies or the presence of rivers on ancient Mars.

arXiv comment17 pages, 9 figures

References in corpus (105)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• The Dust Content and Opacity of Actively Star-Forming Galaxies
• Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Dark Matter Substructure in Galactic Halos
• The Formation of Galactic Disks
• Infrared Emission from Interstellar Dust. IV. The Silicate-Graphite-PAH Model in the Post-Spitzer Era
• Small-Scale Challenges to the $\Lambda$CDM Paradigm
• Relativistic gravitation theory for the MOND paradigm
• Observational Probes of Cosmic Acceleration
• 3D-HST+CANDELS: The Evolution of the Galaxy Size-Mass Distribution since $z=3$
• A simple model to interpret the ultraviolet, optical and infrared emission from galaxies
• A History of Dark Matter
• Minor mergers and the size evolution of elliptical galaxies
• Dark Energy after GW170817: dead ends and the road ahead
• High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
• Non-Baryonic Dark Matter - Observational Evidence and Detection Methods
• Rotation Curves of Spiral Galaxies
• Solar Models: current epoch and time dependences, neutrinos, and helioseismological properties
• The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch
• The Growth of Massive Galaxies Since z=2
• The Reddening-Free Decline Rate Versus Luminosity Relationship for Type Ia Supernovae
• Confirmation of the remarkable compactness of massive quiescent galaxies at z~2.3: early-type galaxies did not form in a simple monolithic collapse
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• Cosmological Tests of Modified Gravity
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• H alpha rotation curves of Low Surface Brightness galaxies
• The CO-to-H2 Conversion Factor and Dust-to-Gas Ratio on Kiloparsec Scales in Nearby Galaxies
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• The HST Key Project on the Extragalactic Distance Scale. XXVIII. Combining the Constraints on the Hubble Constant
• The SCUBA Local Universe Galaxy Survey I: First Measurements of the Submillimetre Luminosity and Dust Mass Functions
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• The size evolution of galaxies since z~3: combining SDSS, GEMS and FIRES
• The Evolution of Galaxy Structure over Cosmic Time
• Can Minor Merging Account for the Size Growth of Quiescent Galaxies? New Results from the CANDELS Survey
• The Ursa Major Cluster of Galaxies. V ; HI Rotation Curve Shapes and the Tully-Fisher Relations
• Alternatives to Dark Matter and Dark Energy
• The Central Mass Distribution in Dwarf and Low Surface Brightness Galaxies
• Timescale Stretch Parameterization of Type Ia Supernova B-band Light Curves
• The photometric structure of the inner Galaxy
• Interferometric detection of gravitational waves: the definitive test for General Relativity
• Making the Case for Conformal Gravity
• The small scatter of the baryonic Tully-Fisher relation
• Multiple minor mergers: formation of elliptical galaxies and constraints for the growth of spiral disks
• Quasi-linear formulation of MOND
• Spiral arms, bar shape and bulge microlensing in the Milky Way
• Small scale problems of the $\Lambda$CDM model: a short review
• The evolving relations between size, mass, surface density, and star formation in 3x10^4 galaxies since z=2
• Structure and Morphologies of z~7-8 Galaxies from ultra-deep WFC3/IR Imaging of the HUDF
• Galaxy Size Evolution at High Redshift and Surface Brightness Selection Effects: Constraints from the Hubble Ultra Deep Field
• Local-Group tests of dark-matter Concordance Cosmology: Towards a new paradigm for structure formation
• The published extended rotation curves of spiral galaxies: Confrontation with Modified Dynamics
• The baryonic Tully-Fisher relation for different velocity definitions and implications for galaxy angular momentum
• The sizes, masses and specific star-formation rates of massive galaxies at 1.3<z<1.5: strong evidence in favour of evolution via minor mergers
• High Resolution Rotation Curves of Low Surface Brightness Galaxies
• Galaxies as simple dynamical systems: observational data disfavor dark matter and stochastic star formation
• Cosmological expansion and local physics
• Dynamics of Non-Steady Spiral Arms in Disk Galaxies
• Influence of global cosmological expansion on local dynamics and kinematics
• The rotationally stabilized VPOS and predicted proper motions of the Milky Way satellite galaxies
• Resonance locking in giant planets indicated by the rapid orbital expansion of Titan
• Fitting galactic rotation curves with conformal gravity and a global quadratic potential
• Impact of a global quadratic potential on galactic rotation curves
• On the Dearth of Compact, Massive, Red Sequence Galaxies in the Local Universe
• Evolution of the Luminosity Function, Star Formation Rate, Morphology and Size of Star-forming Galaxies Selected at Rest-frame 1500A and 2800A
• Resolving the Discrepancy of Galaxy Merger Fraction Measurements at z ~ 0 - 3
• Time Dilation in the Light Curve of the Distant Type Ia Supernovae SN 1995K
• Observational Challenges for the Standard FLRW Model
• Identification of old tidal dwarfs near early-type galaxies from deep imaging and HI observations
• A consistent measure of the merger histories of massive galaxies using close-pair statistics I: Major mergers at $z<3.5$
• The influence of the cosmological expansion on local systems
• Supernova cosmology: legacy and future
• The origin of large peculiar motions of star-forming regions and spiral structures of our Galaxy
• The Pair Fraction of Massive Galaxies at 0 < z < 3
• The effect of a massive object on an expanding universe
• The Baryonic Tully-Fisher Relationship for S${}^4$G Galaxies and the "Condensed" Baryon Fraction of Galaxies
• Gravitational Anomalies in the Solar System?
• The high mass end of the Tully-Fisher relation
• The Lifetimes of Spiral Patterns in Disc Galaxies
• The Sizes of Candidate $z\sim 9-10$ Galaxies: confirmation of the bright CANDELS sample and relation with luminosity and mass
• Fitting dwarf galaxy rotation curves with conformal gravity
• Rotation and Mass in the Milky Way and Spiral Galaxies
• Description of Supernova Data in Conformal Cosmology without Cosmological Constant
• Testing MOND Over a Wide Acceleration Range in X-Ray Ellipticals
• The Shapes of the Rotation Curves of Star-forming Galaxies Over the Last $\approx$10 Gyr
• Perseus I and the NGC 3109 association in the context of the Local Group dwarf galaxy structures
• The Surface Density Profile of the Galactic Disk from the Terminal Velocity Curve
• Evolution of gravitational orbits in the expanding universe
• On the Conformal forms of the Robertson-Walker metric
• Conformally Friedmann-Lemaitre-Robertson-Walker cosmologies
• Rotation Curve Decomposition for Size-Mass Relations of Bulge, Disk, and Dark Halo in Spiral Galaxies
• Complete conformal classification of the Friedmann-Lemaitre-Robertson-Walker solutions with a linear equation of state
• Unbiased Differential Size Evolution and the Inside-Out Growth of Galaxies in the Deep CANDELS GOODS Fields at $1\le z\le 7$
• On the (Lack of) Evolution of the Stellar Mass Function of Massive Galaxies from $z$=1.5 to 0.4
• Observations contradict galaxy size and surface brightness predictions that are based on the expanding universe hypothesis
• FRW Universe Models in Conformally Flat Spacetime Coordinates. I: General Formalism
• The Imprint of Spiral Arms on the Galactic Rotation Curve
• The Stripe 82 Massive Galaxy Project III: A Lack of Growth Among Massive Galaxies
• Expansion-induced contribution to the precession of binary orbits
• Mond - a review
• Local cosmological effects of the order of H in the orbital motion of a binary system
• VLT Observations of NGC 1097's "dog-leg" tidal stream
• Is dark matter fact or fantasy? -- clues from the data

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