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We determine the relationship between the turnaround radius, $R_{\rm t}$, and mass, $M_{\rm t}$, in $\Lambda$CDM, and in dark energy scenarios, using an extended spherical collapse model taking into account the effects of shear and…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-27 Antonino Del Popolo , Man Ho Chan , David F. Mota

The accelerating behavior of cosmic fluid opposes to the gravitational attraction, at present epoch, whereas standard gravity is dominant at small scales. As a consequence, there exists a \emph{point} where the effects are counterbalanced,…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Salvatore Capozziello , Konstantinos F. Dialektopoulos , Orlando Luongo

We investigate the turnaround radius in the spherical collapse model, both in General Relativity and in modified gravity, in particular $f(R)$ scenarios. The phases of spherical collapse are marked by the density contrast in the instant of…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-19 Rafael C. C. Lopes , Rodrigo Voivodic , Luis Raul Abramo , Laerte Sodré

This paper is an extension of the paper by Del Popolo, Chan, and Mota (2020) to take account the effect of dynamical friction. We show how dynamical friction changes the threshold of collapse, $\delta_c$, and the turn-around radius, $R_t$.…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-29 Antonino Del Popolo , Man Ho Chan

We use N-body simulations to examine whether a characteristic turnaround radius, as predicted from the spherical collapse model in a $\rm {\Lambda CDM}$ Universe, can be meaningfully identified for galaxy clusters, in the presence of full…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Giorgos Korkidis , Vasiliki Pavlidou , Konstantinos Tassis , Evangelia Ntormousi , Theodore N. Tomaras , Konstantinos Kovlakas

Our intuitive understanding of cosmic structure formation works best in scales small enough so that bound, relaxed gravitating systems are no longer adjusting their radius; and large enough so that space and matter follow the average…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Vasiliki Pavlidou , Theodore N. Tomaras

We extended the modified Lemaitre-Tolman model taking into account the effect of angular momentum and dynamical friction. The inclusion of these quantities in the equation of motion modifies the evolution of a perturbation, initially moving…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-24 Antonino Del Popolo , Maksym Deliyergiyev , Man Ho Chan

We investigate the virialization of cosmic structures in the framework of flat FLRW cosmological models, in which the vacuum energy density evolves with time. In particular, our analysis focuses on the study of spherical matter…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 S. Basilakos , M. Plionis , J. Sola

Mass models of a sample of 171 low- and high-surface brightness galaxies are presented in the context of the cold dark matter (CDM) theory using the NFW dark matter halo density distribution to extract a new concentration-viral mass…

Astrophysics of Galaxies · Physics 2018-03-21 Hosein Haghi , Aziz Khodadadi , Amir Ghari , Akram Hasani Zonoozi , Pavel Kroupa

We revisit the concept of turnaround radius in cosmology, in the context of modified gravity. While preliminary analyses were limited to scalar-tensor/$F(R)$ gravity, we extend the definition and the study of this quantity to a much broader…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

We present a new statistics based on the turn-around radii of cluster halos to break the dark sector degeneracy between the $\Lambda$CDM model and the alternative ones with $f(R)$ gravity and massive neutrinos ($\nu$) characterized by the…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-07 Jounghun Lee , Marco Baldi

The average matter density within the turnaround scale, which demarcates where galaxies shift from clustering around a structure to joining the expansion of the Universe, is an important cosmological probe. However, a measurement of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-02 Giorgos Korkidis , Vasiliki Pavlidou

In this work, we consider four $f(R)$ gravity models -- the Hu-Sawicki, Starobinsky, Exponential and Tsujikawa models -- and use a range of cosmological data, together with Markov Chain Monte Carlo sampling techniques, to constrain the…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Christine R. Farrugia , Joseph Sultana , Jurgen Mifsud

We investigate the evolution of cosmic structures within the framework of modified gravity, specifically focusing on theories described by the function $f(R, L_m)$, where $R$ is the Ricci scalar and $L_m$ is the matter Lagrangian. This…

General Relativity and Quantum Cosmology · Physics 2025-07-08 G. K. Goswami , J. P. Saini

Spherical collapse predicts that a single value of the turnaround density (average matter density within the scale on which a structure detaches from the Hubble flow) characterizes all cosmic structures at the same redshift. It has been…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Vasiliki Pavlidou , Giorgos Korkidis , Theodore Tomaras , Dimitrios Tanoglidis

Outside galaxy clusters the competition between the inwards gravitational attraction and the outwards expansion of the Universe leads to a special radius of velocity cancellation, which is called the turn-around radius. Measurements of the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-02 Steen H. Hansen , Farbod Hassani , Lucas Lombriser , Martin Kunz

The turnaround radius of a large structure in an accelerating universe has been studied only for spherical structures, while real astronomical systems deviate from spherical symmetry. We show that, for small deviations from spherical…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Andrea Giusti , Valerio Faraoni

We use the spherical collapse model to demonstrate that the observable average density of virialized clusters depends on the properties of dark energy along with the properties of gravity on cluster scales and can therefore be used as a…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-23 Evangelos A. Paraskevas , Leandros Perivolaropoulos

The mean matter density within the turnaround radius, which is the boundary that separates a nonexpanding structure from the Hubble flow, was recently proposed as a novel cosmological probe. According to the spherical collapse model, the…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-14 Giorgos Korkidis , Vasiliki Pavlidou , Konstantinos Tassis

The concentration-virial mass (c-M) relation is a fundamental scaling relation within the standard cold dark matter ($\Lambda$CDM) framework well established in numerical simulations. However, observational constraints of this relation are…

Astrophysics of Galaxies · Physics 2024-11-15 Dominik Leier , Ignacio Ferreras , Andrea Negri , Prasenjit Saha
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