Multiscale Cosmic Curvature: from Local Structures to Cosmology
arXiv:2504.03009 · doi:10.1103/qsml-5dy9
Abstract
This study tackles the impact Dark Energy (DE) in different systems by a simple unifying formalism. We introduce a parameter space that compare gravity across all cosmic scales, using the McVittie spacetime (McV) and connects spherically symmetric solutions with cosmological solutions. By analyzing the invariant scalars: the Ricci, Weyl, and Kretschmann scalars, we develop a phase-space description that predicts the dominance of the Cosmological Constant. We explore three cases: (1) the local Hubble flow around galaxy groups and clusters, (2) spherical density distributions and (3) binary motion. Our results show that the Kretschmann scalar of galaxy groups and clusters in their turnaround is which is three times the Kretschmann scalar of the Cosmological Consonant. This quantifies the DE domination in local structures.
arXiv comment6 pages, 3 figures; extended version
References in corpus (45)
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- The Cosmological Constant and Dark Energy
- The observed properties of dwarf galaxies in and around the Local Group
- Properties of galaxies reproduced by a hydrodynamic simulation
- First Results from the TNG50 Simulation: Galactic outflows driven by supernovae and black hole feedback
- First Results from the TNG50 Simulation: The evolution of stellar and gaseous disks across cosmic time
- Updated Nearby Galaxy Catalog
- The Illustris Simulation: Public Data Release
- The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
- Is the Observable Universe Consistent with the Cosmological Principle?
- The Hubble flow around the CenA / M83 galaxy complex
- Cosmological expansion and local physics
- Linking Tests of Gravity On All Scales: from the Strong-Field Regime to Cosmology
- Cosmicflows-4
- The Hubble flow around the Local Group
- Hubble flow around Fornax cluster of galaxies
- A point mass in an isotropic universe. Existence, uniqueness and basic properties
- A dynamical model of the local cosmic expansion
- Revised and new proper motions for confirmed and candidate Milky Way dwarf galaxies
- The effect of a massive object on an expanding universe
- Where the world stands still: turnaround as a strong test of ΛCDM cosmology
- The effect of an expanding universe on massive objects
- The observed infall of galaxies towards the Virgo cluster
- Dynamics of Nearby Groups of Galaxies: the role of the cosmological constant
- Constraining Dark Energy through the Stability of Cosmic Structures
- On the implementation of the spherical collapse model for dark energy models
- Mass Determination of Groups of Galaxies: Effects of the Cosmological Constant
- Conformally flat FRW metrics
- How did the Virgo cluster form?
- Determination of the Local Hubble Constant from Virgo Infall Using TRGB Distances
- Turnaround radius in model
- Testing Lambda CDM cosmology at turnaround: where to look for violations of the bound?
- Constraining Dark Energy from Local Group dynamics
- Double Distribution of Dark Matter Halos with respect to Mass and Local Overdensity
- Geodesics of McVittie Spacetime with a Phantom Cosmological Background
- Dark Energy as a Critical Period in Binary Motion: Bounds from Multi-scale Binaries
- The radius, at which a galaxy group stops the Hubble stream, and the group mass: an exact analytical solution
- Turnaround density as a probe of the cosmological constant
- Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies II: the role of dark energy
- The maximum turnaround radius for axisymmetric cosmic structures
- Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies
- The frozen outskirts: a cold Hubble flow and the mass of the Local Group
- Galaxy infall models for arbitrary velocity directions
- n-dimensional Weyl conformal tensor in a 4-index gravitational field theory
- Timing Mass of the Local Group