Revisiting the distance duality relation using a non-parametric regression method

Abstract

The interdependence of luminosity distance, $D_L$ and angular diameter distance, $D_A$ given by the distance duality relation (DDR) is very significant in observational cosmology. It is very closely tied with the temperature- redshift relation of Cosmic Microwave Background (CMB) radiation. Any deviation from $\eta (z)\equiv \frac{D_L}{D_A(1+z{)}^2}=1$ indicates a possible emergence of new physics. Our aim in this work is to check the consistency of these relations using a non-parametric regression method namely, LOESS with SIMEX. This technique avoids dependency on the cosmological model and works with a minimal set of assumptions. Further, to analyze the efficiency of the methodology, we simulate a dataset of $200$ points of $\eta (z)$ data based on a phenomenological model $\eta (z)=(1+z{)}^{\epsilon }$. The error on the simulated data points is obtained by using the temperature of CMB radiation at various redshifts. For testing the distance duality relation, we use the JLA SNe Ia data for luminosity distances, while the angular diameter distances are obtained from radio galaxies datasets. Since the DDR is linked with CMB temperature - redshift relation, therefore we also use the CMB temperature data to reconstruct $\eta (z)$. It is important to note that with CMB data, we are able to study the evolution of DDR up to a very high redshift $z=2.418$. In this analysis, we find no evidence of deviation from $\eta =1$ within a $1\sigma$ region in the entire redshift range used in this analysis ($0<z\le 2.418$).

10 pages, 11 figures, accepted for publication in JCAP, improved version include analysis performed with CMB, radio galaxies and mock data

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Cited by in corpus (20)

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• Assessment of the cosmic distance duality relation using Gaussian Process
• Probing the cosmic distance duality relation using time delay lenses
• Statistical Test of Distance--Duality Relation with Type Ia Supernovae and Baryon Acoustic Oscillations
• Model-independent Constraints on Cosmic Curvature and Opacity
• Machine Learning meets the redshift evolution of the CMB Temperature
• Cosmographic Footprints of Dynamical Dark Energy
• Galaxy cluster Sunyaev-Zel'dovich effect scaling-relation and type Ia supernova observations as a test for the cosmic distance duality relation
• A non-parametric test of variability of Type Ia supernovae luminosity and CDDR
• Unbiased Cosmic Opacity Constraints from Standard Sirens and Candles
• Constraining axionlike particles using the distance-duality relation
• Bayesian Comparison of the Cosmic Duality Scenarios
• Constraining Cosmological and Galaxy Parameters using Strong Gravitational Lensing Systems
• Galaxy rotation curves using a non-parametric regression method: core, cusp and fuzzy scalar field dark matter models
• On the cosmic distance duality relation and the strong gravitational lens power law density profile
• Strong lensing systems and galaxy cluster observations as probe to the cosmic distance duality relation
• Model-Independent Probe of Cosmic Distance Duality Relation
• Resilience and implications of adiabatic CMB cooling
• Probing the Cosmic Distance Duality Relation via Non-Parametric Reconstruction for High Redshifts