Saved in:
Bibliographic Details
Main Authors: Souza, Bruno J., Santos-Pereira, Osvaldo L., Ribeiro, Marcelo B.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.09649
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866917998424489984
author Souza, Bruno J.
Santos-Pereira, Osvaldo L.
Ribeiro, Marcelo B.
author_facet Souza, Bruno J.
Santos-Pereira, Osvaldo L.
Ribeiro, Marcelo B.
contents This work discusses the influence of galaxy mergers in the evolution of a parabolic Lema\^ıtre-Tolman-Bondi (LTB) cosmology with simultaneous big bang endowed with two consecutive single fractal galaxy distributions systems possessing fractal dimension $D$. Based on recent empirical findings, it is assumed that the resulting galaxy mass from mergers can be expressed by a redshift dependent decaying power law. The proposed cosmological model modifies the relativistic fractal number counts distribution by including a merger rate evolution that estimates the model's radial density. Numerical solutions for the first order small-merger-rate approximation (SMRA) are found and the results show that a fractal galaxy distribution having $D=1.5$ in the range $0.1<z<1.0$, and $D=0.5$ for $1<z<6$, as suggested by recent empirical findings, the SMRA allows consistent description of the model for a merger rate power law exponent up to $q=0.2$ considering a fractal galaxy distribution starting from the Local Group. Consistent values were also found up to $q=2.5$ and $z=7$ from a scale smaller than the Local Supercluster. These results show that galaxy mergers can be successfully incorporated into the dynamics of a parabolic LTB fractal cosmology.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09649
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Galaxy Mergers in a Fractal Cosmology
Souza, Bruno J.
Santos-Pereira, Osvaldo L.
Ribeiro, Marcelo B.
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
This work discusses the influence of galaxy mergers in the evolution of a parabolic Lema\^ıtre-Tolman-Bondi (LTB) cosmology with simultaneous big bang endowed with two consecutive single fractal galaxy distributions systems possessing fractal dimension $D$. Based on recent empirical findings, it is assumed that the resulting galaxy mass from mergers can be expressed by a redshift dependent decaying power law. The proposed cosmological model modifies the relativistic fractal number counts distribution by including a merger rate evolution that estimates the model's radial density. Numerical solutions for the first order small-merger-rate approximation (SMRA) are found and the results show that a fractal galaxy distribution having $D=1.5$ in the range $0.1<z<1.0$, and $D=0.5$ for $1<z<6$, as suggested by recent empirical findings, the SMRA allows consistent description of the model for a merger rate power law exponent up to $q=0.2$ considering a fractal galaxy distribution starting from the Local Group. Consistent values were also found up to $q=2.5$ and $z=7$ from a scale smaller than the Local Supercluster. These results show that galaxy mergers can be successfully incorporated into the dynamics of a parabolic LTB fractal cosmology.
title Galaxy Mergers in a Fractal Cosmology
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2504.09649