What if the universe expands linearly? A local general relativity to solve the "zero active mass" problem

Abstract

Modern cosmology presents important challenges such as the \textit{Hubble tension}, \textit{El Gordo's collision} or the \textit{impossible galaxies} ($z>10$). Slight modifications to the standard model propose new parameters (e.g. the early and dynamical dark energy). On the other hand, alternatives such as the coasting universes (e.g. the \textit{hyperconical model} and the spatially flat $R_h=ct$ universe) are statistically compatible with most of observational tests, but still present theoretical problems in matching the observed matter contents since they predict a ``zero active gravitational mass.'' To solve these open issues, we suggest that general relativity might be not valid at cosmic scales, but it would be valid at local scales. This proposal is addressed from two main features of the embedding hyperconical model: 1) the background metric would be independent of the matter content, and 2) the observed cosmic acceleration would be fictitious and because of a distorted stereographic projection of coordinates that produce an apparent radial inhomogeneity from homogeneous manifolds. Finally, to support the discussion, standard observational tests were updated here, showing that the hyperconical model is adequately fitted to Type Ia Supernovae, quasars, galaxy clusters, BAO, and cosmic chronometer data sets.

arXiv comment22 pages, 4 figures

References in corpus (103)

• Planck 2015 results. XIII. Cosmological parameters
• The Cosmological Constant and Dark Energy
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• The Pantheon+ Analysis: Cosmological Constraints
• Constraints on the redshift dependence of the dark energy potential
• UniverseMachine: The Correlation between Galaxy Growth and Dark Matter Halo Assembly from z=0-10
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Early Dark Energy Can Resolve The Hubble Tension
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Constraints on the equation of state of dark energy and the Hubble constant from stellar ages and the CMB
• Dynamical dark energy in light of the latest observations
• Cosmological implications of ultra-light axion-like fields
• New constraints on cosmological parameters and neutrino properties using the expansion rate of the Universe to z~1.75
• Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$
• Is the Observable Universe Consistent with the Cosmological Principle?
• Type Ia Supernova Distances at z > 1.5 from the Hubble Space Telescope Multi-Cycle Treasury Programs: The Early Expansion Rate
• SiFTO: An Empirical Method for Fitting SNe Ia Light Curves
• A Matter-Antimatter Universe?
• The dark matter crisis: falsification of the current standard model of cosmology
• The R_h = ct Universe
• Toward a Better Understanding of Cosmic Chronometers: A new measurement of H(z) at z~0.7
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights
• The Clustering of Galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Testing Deviations from $\Lambda$ and General Relativity using anisotropic clustering of galaxies
• Measuring D_A and H at z=0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations
• Measuring the Three-Dimensional Structure of Galaxy Clusters. I. Application to a Sample of 25 Clusters
• Search for axion-like dark matter through nuclear spin precession in electric and magnetic fields
• The Cosmic Horizon
• Panic! At the Disks: First Rest-frame Optical Observations of Galaxy Structure at $z>3$ with JWST in the SMACS 0723 Field
• New Observational $H(z)$ Data from Full-Spectrum Fitting of Cosmic Chronometers in the LEGA-C Survey
• Revealing Intrinsic Flat $\Lambda$CDM Biases with Standardizable Candles
• Reconciling the Diversity and Uniformity of Galactic Rotation Curves with Self-Interacting Dark Matter
• Ultra-compact structure in intermediate-luminosity radio quasars: building a sample of standard cosmological rulers and improving the dark energy constraints up to $z\sim 3$
• The KBC void and Hubble tension contradict $\Lambda$CDM on a Gpc scale $-$ Milgromian dynamics as a possible solution
• Sample variance in the local measurements of the Hubble constant
• CPT symmetry and antimatter gravity in general relativity
• Cosmology with Modified Newtonian Dynamics (MOND)
• Introducing the Dirac-Milne universe
• JWST early Universe observations and ΛCDM cosmology
• The failures of the standard model of cosmology require a new paradigm
• Cosmology and Convention
• A massive blow for $\Lambda$CDM $-$ the high redshift, mass, and collision velocity of the interacting galaxy cluster El Gordo contradicts concordance cosmology
• Apparent cosmic acceleration from type Ia supernovae
• A Comparative Analysis of the Supernova Legacy Survey Sample with ΛCDM and the $R_{\mathrm{h}}=ct$ Universe
• A new measurement of the expansion history of the Universe at z=1.26 with cosmic chronometers in VANDELS
• Tests and problems of the standard model in Cosmology
• Generalized Chen-Wu type cosmological model
• Modeling Dynamical Dark Energy
• Resolving the Hubble tension with Early Dark Energy
• We do not live in the R_h = c t universe
• Sources of Low-Energy Events in Low-Threshold Dark Matter and Neutrino Detectors
• MOND vs. dark matter in light of historical parallels
• Breakdown of the Newton-Einstein Standard Gravity at Low Acceleration in Internal Dynamics of Wide Binary Stars
• Robust model comparison disfavors power law cosmology
• A comparison of the R_h=ct and LCDM cosmologies using the Cosmic Distance Duality Relation
• Physical Basis for the Symmetries in the Friedmann-Robertson-Walker Metric
• Forming Galaxies with MOND
• The Zero Active Mass Condition in Friedmann-Robertson-Walker Cosmologies
• A Giant Arc on the Sky
• Cosmology-independent Estimate of the Hubble Constant and Spatial Curvature Using Time-delay Lenses and Quasars
• Power law cosmology model comparison with CMB scale information
• The formation of exponential disk galaxies in MOND
• $R_h=ct$ and the eternal coasting cosmological model
• Can high-redshift Hubble diagrams rule out the standard model of cosmology in the context of cosmographic method?
• Simulating the galaxy cluster "El Gordo" and identifying the merger configuration
• Testing the Distance-Duality Relation in the $R_h=ct$ Universe
• Impact of a locally measured H_0 on the interpretation of cosmic chronometer data
• Exploring the Hubble Tension and Spatial Curvature from the Ages of Old Astrophysical Objects
• Definitive Test of the R_h=ct Universe Using Redshift Drift
• Primordial Nucleosynthesis in the Rh = ct cosmology: Pouring cold water on the Simmering Universe
• Dynamical stability in models where dark matter and dark energy are non-minimally coupled to curvature
• The El Gordo galaxy cluster challenges ΛCDM for any plausible collision velocity
• A Low Matter Density Decaying Vacuum Cosmology from Complex Metric
• A modified Ozer-Taha type cosmological model
• Hydrodynamical structure formation in Milgromian cosmology
• The dimensionless age of the Universe: a riddle for our time
• A New Test of Dynamical Dark Energy Models and Cosmic Tensions in Hořava Gravity
• The Maximum Angular-Diameter Distance in Cosmology
• Normalized additional velocity distribution: testing the radial profile of dark matter halos and MOND
• Forecasting cosmic acceleration measurements using the Lyman-$\alpha$ forest
• A Solar System Test of Self-Interacting Dark Matter
• Fitting a Self-Interacting Dark Matter Model to Data Ranging From Satellite Galaxies to Galaxy Clusters
• A Cosmological Solution to the Impossibly Early Galaxy Problem
• Cosmic backreaction and Gauss's law
• Study of the observational compatibility of an inhomogeneous cosmology with linear expansion according to SNe Ia
• When Leaving the Solar System: Dark Matter Makes a Difference
• Dynamical dark energy can amplify the expansion rate of the Universe
• Antimatter gravity and the Universe
• Geometric interpretation of the dark energy from projected hyperconical universes
• Galaxy rotation curve in hyperconical universes: a natural relativistic MOND
• Missing dust signature in the cosmic microwave background
• Fitting of supernovae without dark energy
• Model Selection using Baryon Acoustic Oscillations in the Final SDSS-IV Release
• A Pop III generated dust screen at z~16
• Tantalizing New Physics from the Cosmic Purview
• A comparison of cosmological models with high-redshift quasars

Cited by in corpus (4)

• Comparison of HMG and flat rotation velocities inferred from galaxy-galaxy weak lensing
• From colored gravity to electromagnetism
• Hydrostatic equilibrium of X-ray gas in X-COP clusters with HMG
• Distinct radial acceleration relations of galaxies and galaxy clusters supports hyperconical modified gravity