## Abstract

A bound-violation designates a case that the turn-around radius of a bound object exceeds the upper limit put by the spherical collapse model based on the standard $\Lambda$CDM paradigm. Given that the turn-around radius of a bound object is a stochastic quantity and that the spherical model overly simplifies the true gravitational collapse which actually proceeds anisotropically along the cosmic web, the rarity of the occurrence of a bound violation may depend on the web environment. Assuming a Planck cosmology, we numerically construct the bound-zone peculiar velocity profiles along the cosmic web (filaments and sheets) around the isolated groups with virial mass $M_{\rm v}\ge 3\times 10^{13}\,h^{-1}M_{\odot}$ identified in the Small MultiDark Planck simulations and determine the radial distances at which their peculiar velocities equal the Hubble expansion speed as the turn-around radii of the groups. It is found that although the average turn-around radii of the isolated groups are well below the spherical bound-limit on all mass scales, the bound violations are not forbidden for individual groups and that the cosmic web has an effect of reducing the rarity of the occurrence of a bound violation. Explaining that the spherical bound limit on the turn-around radius in fact represents the threshold distance up to which the intervention of the external gravitational field in the bound-zone peculiar velocity profiles around the non-isolated groups stays negligible, we discuss the possibility of using the threshold distance scale to constrain locally the equation of state of dark energy .

## Full Text

### Topics from this Paper

- Cosmic Web
- Spherical Model
- Turn-around Radius
- External Gravitational Field
- Planck Cosmology + Show 5 more

Create a personalized feed of these topics

Get Started#### Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call### Similar Papers

- Physics Today
- Oct 1, 2015

- Journal of Cosmology and Astroparticle Physics
- Jul 1, 2019

- The Astrophysical Journal
- Mar 26, 2018

- arXiv: Cosmology and Nongalactic Astrophysics
- Sep 20, 2017

- arXiv: Astrophysics
- Apr 8, 2002

- Monthly Notices of the Royal Astronomical Society
- Sep 21, 2011

- Monthly Notices of the Royal Astronomical Society
- Jul 21, 2014

- Monthly Notices of the Royal Astronomical Society
- Aug 3, 2017

- Monthly Notices of the Royal Astronomical Society
- Dec 21, 2002

- arXiv: Cosmology and Nongalactic Astrophysics
- Mar 1, 2017

- Astronomy & Astrophysics
- Jul 1, 2020

- arXiv: Cosmology and Nongalactic Astrophysics
- Dec 17, 2019

- Journal of Cosmology and Astroparticle Physics
- Jul 1, 2015

- Monthly Notices of the Royal Astronomical Society
- Oct 16, 2022

### arXiv: Cosmology and Nongalactic Astrophysics

- arXiv: Cosmology and Nongalactic Astrophysics
- May 24, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- May 20, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- May 8, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- Apr 25, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- Apr 22, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- Apr 7, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- Apr 1, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- Mar 27, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- Mar 23, 2021

- arXiv: Cosmology and Nongalactic Astrophysics
- Mar 23, 2021