Cosmology in one dimension: A two-component model |
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| Affiliation: | 1. Department of Physics, The University of Azad Jammu and Kashmir, Muzaffarabad 13100, Azad Kashmir, Pakistan;2. National Center for Physics at QAU Campus, Shahdra Valley Road, Islamabad 44000, Pakistan;1. Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China;2. University of Chinese Academy of Sciences, 19 A Yuquan Rd, Shijingshan District, Beijing 100049, China;3. School of Management Science and Engineering, Heibei University of Economics and Business, Hebei 050061, China;1. Saratov State Technical University, Politehnicheskaya Str. 77, 410054, Saratov, Russia;2. Saratov State University, Astrakhanskaya Str. 83, 410012, Saratov, Russia |
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| Abstract: | We investigate structure formation in a one dimensional model of a matter-dominated universe using a quasi-Newtonian formulation. In addition to dissipation-free dark matter, dissipative luminous matter is introduced to examine the potential bias in the distributions. We use multifractal analysis techniques to identify scale-dependent structures, including clusters and voids. Both dark matter and luminous matter exhibit multifractal geometry over a finite range as the universe evolves in time. We present the results for the generalized dimensions computed on various scales for each matter distribution which clearly supports the bottom-up structure formation scenario. We compare and contrast the multifractal dimensions of two types of matter for the first time and show how dynamical considerations cause them to differ. |
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