Near universality of nonlinear transverse and radial velocity responses in spherical collapse with arbitrary radial profiles

arXiv:2608.27376 · astro-ph.CO, gr-qc · Submitted 2026-08-27 · Read on arXiv

astro-ph.CO, gr-qc

Submitted: 2026-08-27

Updated: 2026-08-27

Terminology

• Accuracy — 3× in this paper · explained in 1 episode
• Benchmark — 3× in this paper · explained in 2 episodes
• Anisotropy — 2× in this paper · explained in 3 episodes
• Calibration — 2× in this paper · explained in 7 episodes
• N-body simulations — 1× in this paper · explained in 2 episodes

Sources

• Weakly Nonlinear Density-Velocity Relation
• Cosmological Perturbation Theory and the Spherical Collapse model - III. The Velocity divergence field and the $\Omega$ dependence
• The velocity-density relation in the spherical model
• Non-linear density-velocity divergence relation from phase space dynamics
• Two is better than one: joint statistics of density and velocity in concentric spheres as a cosmological probe
• Cosmic variance and the measurement of the local Hubble parameter
• Quasi-local variables in spherical symmetry: numerical applications to dark matter and dark energy sources
• Weighed scalar averaging in LTB dust models, part I: statistical fluctuations and gravitational entropy
• Weighed scalar averaging in LTB dust models, part II: a formalism of exact perturbations
• Invariant characterization of the growing and decaying density modes in LTB dust models
• On spherical dust fluctuations: the exact vs. the perturbative approach
• The BEHOMO project: $\Lambda$LTB $N$-body simulations
• Complete solutions to the metric of spherically collapsing dust in an expanding spacetime with a cosmological constant
• On Separate Universes
• Scalar Perturbations on Lemaitre-Tolman-Bondi Spacetimes
• The $\Omega$ Dependence in the Equations of Motion
• Phase Space dynamics of triaxial collapse: Joint density-velocity evolution

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