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On the Influence of Angular Momentum and Dynamical Friction on Structure Formation

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Abstract

In this paper we extended the spherical collapse model to take account of angular momentum and dynamical friction and studied how the accreted mass, the threshold of collapse, the virial overdensity, and the mass function change. Solving the equation of motion we got the relationships between mass, M, and the turn-around radius, \({{R}_{0}}\). This relation is important because knowing \({{R}_{0}}\) one can obtain the mass accreted by the structure. We see that moving from the simple spherical collapse to that accounting for angular momentum and dynamical friction leads to the increase of acquired mass. Then, we showed how angular momentum, and dynamical friction change the threshold of collapse with mass, and also with redshift for different dark energy models. We repeated the calculation for the virial overdensity, and the mass function, founding noteworthy differences with the case of the simple spherical collapse.

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Notes

  1. Particles angular momenta is randomly distributed in random such that the mean angular momentum at any point in space is zero [100, 102] then conserving spherical symmetry and angular momentum.

  2. In that paper \(\alpha = 1.1 \pm 0.3\).

  3. In the case, \({{K}_{j}} = 0\), \(A = 3.6575\), and if \({{K}_{j}} = 0\), \({{\Omega }_{\Lambda }} = 0\), the SLT gives \(A = 2.655\). In the case dynamical friction is also present, \(A = 6.05\).

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  1. Dipartimento di Fisica e Astronomia, University of Catania, Catania, Italy

    Antonino Del Popolo

  2. Institute of Astronomy, Russian Academy of Sciences, Moscow, Russia

    Antonino Del Popolo

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Del Popolo, A. On the Influence of Angular Momentum and Dynamical Friction on Structure Formation. Astron. Rep. 64, 994–1004 (2020). https://doi.org/10.1134/S1063772920120100

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