Model-Independent Probe of Cosmic Distance Duality Relation
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866912205122830336 |
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| author | Gahlaut, Savita |
| author_facet | Gahlaut, Savita |
| contents | In this paper, cosmic distance duality relation is probed without considering any background cosmological model. The only \textit{a priori} assumption is that the Universe is described by the Friedmann-Lema$\hat{i}$tre-Robertson-Walker (FLRW) metric The strong gravitational lensing (SGL) data is used to construct the dimensionless co-moving distance function $d(z)$ and latest type Ia supernovae (SNe Ia) Pantheon+ data is used to estimate luminosity distances at the corresponding redshifts $z$. Using the distance sum rule along null geodesics of the FLRW metric, the CDDR violation is probed in both flat and non-flat space-time by considering two parametrizations for $η(z)$, the function generally used to probe the possible deviations from CDDR. The results show that, CDDR is compatible with the observations at a very high level of confidence for linear parametrization in flat Universe. In non-flat Universe too, CDDR is valid within $1σ$ confidence interval with a mild dependence of $η$ on the curvature density parameter $Ω_{K}$ . The results for non-linear parametrization also show no significant deviation from CDDR. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15086 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Model-Independent Probe of Cosmic Distance Duality Relation Gahlaut, Savita General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics In this paper, cosmic distance duality relation is probed without considering any background cosmological model. The only \textit{a priori} assumption is that the Universe is described by the Friedmann-Lema$\hat{i}$tre-Robertson-Walker (FLRW) metric The strong gravitational lensing (SGL) data is used to construct the dimensionless co-moving distance function $d(z)$ and latest type Ia supernovae (SNe Ia) Pantheon+ data is used to estimate luminosity distances at the corresponding redshifts $z$. Using the distance sum rule along null geodesics of the FLRW metric, the CDDR violation is probed in both flat and non-flat space-time by considering two parametrizations for $η(z)$, the function generally used to probe the possible deviations from CDDR. The results show that, CDDR is compatible with the observations at a very high level of confidence for linear parametrization in flat Universe. In non-flat Universe too, CDDR is valid within $1σ$ confidence interval with a mild dependence of $η$ on the curvature density parameter $Ω_{K}$ . The results for non-linear parametrization also show no significant deviation from CDDR. |
| title | Model-Independent Probe of Cosmic Distance Duality Relation |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2501.15086 |