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1. Verfasser: Dinda, Bikash R.
Format: Preprint
Veröffentlicht: 2023
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Online-Zugang:https://arxiv.org/abs/2312.01393
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author Dinda, Bikash R.
author_facet Dinda, Bikash R.
contents This study explores the impact of cosmic curvature on structure formation through general relativistic first-order perturbation theory. We analyze continuity and Euler equations, incorporating cosmic curvature into Einstein equations. Emphasizing late-time dynamics, we investigate matter density contrast evolution in the presence of cosmic curvature, with a specific focus on sub-hubble scales. Solving the evolution equation, we conduct data analysis using cosmic chronometers, baryon acoustic oscillations from Dark Energy Spectroscopic Instrument Data Release 2 (DESI DR2) (including $r_d$ constraint from CMB), type Ia supernova observations from Pantheon+ sample, logarithmic growth rate $f$ data and $fσ_8$ data. While constraints on some parameters remain consistent, inclusion of cosmic curvature losens constraints on $Ω_{\rm m0}$ and $σ_{\rm 8,0}$ in $Λ$CDM and $w_0$CDM models. The non-phantom behavior of dark energy proves more favorable in $w_0$CDM model, whereas in CPL model, there is certain evidence for non-phantom behaviour at lower redshift and phantom behaviour at higher redshift. Interestingly, we find certain evidence for non-zero cosmic curvature in $Λ$CDM model, but no evidence for it in both $w_0$CDM and CPL models, which indirectly proves the non-degeneracy between dynamical dark energy and cosmic curvature.
format Preprint
id arxiv_https___arxiv_org_abs_2312_01393
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Cosmic curvature on large-scale structures with homogeneous dark energy
Dinda, Bikash R.
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
This study explores the impact of cosmic curvature on structure formation through general relativistic first-order perturbation theory. We analyze continuity and Euler equations, incorporating cosmic curvature into Einstein equations. Emphasizing late-time dynamics, we investigate matter density contrast evolution in the presence of cosmic curvature, with a specific focus on sub-hubble scales. Solving the evolution equation, we conduct data analysis using cosmic chronometers, baryon acoustic oscillations from Dark Energy Spectroscopic Instrument Data Release 2 (DESI DR2) (including $r_d$ constraint from CMB), type Ia supernova observations from Pantheon+ sample, logarithmic growth rate $f$ data and $fσ_8$ data. While constraints on some parameters remain consistent, inclusion of cosmic curvature losens constraints on $Ω_{\rm m0}$ and $σ_{\rm 8,0}$ in $Λ$CDM and $w_0$CDM models. The non-phantom behavior of dark energy proves more favorable in $w_0$CDM model, whereas in CPL model, there is certain evidence for non-phantom behaviour at lower redshift and phantom behaviour at higher redshift. Interestingly, we find certain evidence for non-zero cosmic curvature in $Λ$CDM model, but no evidence for it in both $w_0$CDM and CPL models, which indirectly proves the non-degeneracy between dynamical dark energy and cosmic curvature.
title Cosmic curvature on large-scale structures with homogeneous dark energy
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2312.01393