Probing the cosmic distance duality relation using time delay lenses

Rana, Akshay; Jain, Deepak; Mahajan, Shivani; Mukherjee, Avijit; Holanda, R. F. L.

doi:10.1088/1475-7516/2017/07/010

Cited by 43 publications

(35 citation statements)

References 114 publications

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“…A similar method (Liang et al 2013) was used with earlier Union2 SNIa data (Amanullah et al 2010), but it did not share the aforementioned benefits and was not generalized to non-diagonal data covariance. Recently, a smoothing interpolation method based on Gaussian processes was applied to the analysis of DD relation (Rana et al 2017), which could be used to reconstruct η(z) as a smooth function. However, unlike in ours, in the aforementioned study (unlike ours), contribution to the final statistical distributions from SNIa standardization uncertainty was not accounted for.…”

Section: Discussionmentioning

confidence: 99%

Statistical Test of Distance–Duality Relation with Type Ia Supernovae and Baryon Acoustic Oscillations

Corasaniti

2018

ApJ

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We test the distance-duality relation η ≡ d L /[(1 + z) 2 d A ] = 1 between cosmological luminosity distance (d L ) from the JLA SNe Ia compilation and angular-diameter distance (d A ) based on Baryon Oscillation Spectroscopic Survey (BOSS) and WiggleZ baryon acoustic oscillation measurements. The d L measurements are matched to d A redshift by a statistically consistent compression procedure. With Monte Carlo methods, nontrivial and correlated distributions of η can be explored in a straightforward manner without resorting to a particular evolution template η(z). Assuming independent constraints on cosmological parameters that are necessary to obtain d L and d A values, we find 9% constraints consistent with η = 1 from the analysis of SNIa + BOSS and an 18% bound results from SNIa + WiggleZ. These results are contrary to previous claims that η < 1 has been found close to or above the 1σ level. We discuss the effect of different cosmological parameter inputs and the use of the apparent deviation from distance-duality as a proxy of systematic effects on cosmic distance measurements. The results suggest possible systematic overestimation of SNIa luminosity distances compared with d A data when a Planck ΛCDM cosmological parameter inference is used to enhance the precision. If interpreted as an extinction correction due to a gray dust component, the effect is broadly consistent with independent observational constraints.

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Section: Discussionmentioning

confidence: 99%

Statistical Test of Distance–Duality Relation with Type Ia Supernovae and Baryon Acoustic Oscillations

Corasaniti

2018

ApJ

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“…With the SIS mass distribution, the Einstein radius is expressed as (Schneider et al 2006;Rana et al 2017)…”

Section: Introductionmentioning

confidence: 99%

Model-independent Test of the Cosmic Distance Duality Relation

Ruan

Melia

Zhang

2018

ApJ

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A validation of the cosmic distance duality (CDD) relation, η(z) ≡ (1+z) 2 d A (z)/d L (z) = 1, coupling the luminosity (d L ) and angular-diameter (d A ) distances, is crucial because its violation would require exotic new physics. We present a model-independent test of the CDD, based on strong lensing and a reconstruction of the HII galaxy Hubble diagram using Gaussian Processes, to confirm the validity of the CDD at a very high level of confidence. Using parameterizations η(z) = 1 + η 0 z and η(z) = 1 + η 1 z + η 2 z 2 , our best-fit results are η 0 = 0.0147 +0.056 −0.066 , and η 1 = 0.1091 +0.1680 −0.1568 and η 2 = −0.0603 +0.0999 −0.0988 , respectively. In spite of these strong constraints, however, we also point out that the analysis of strong lensing using a simplified single isothermal sphere (SIS) model for the lens produces some irreducible scatter in the inferred CDD data. The use of an extended SIS approximation, with a power-law density structure, yields very similar results, but does not lessen the scatter due to its larger number of free parameters, which weakens the best-fit constraints. Future work with these strong lenses should therefore be based on more detailed ray-tracing calculations to determine the mass distribution more precisely.

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“…3, We apply a non-parametric technique (Gaussian process) to smoothen it which enables us to find the model independent value of H(z) at all desired redshifts of the galaxy clusters [60]. [For more details of Gaussian process see [60][61][62]].…”

Section: Methodsmentioning

confidence: 99%

Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters

et al. 2018

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In General Relativity (GR), the graviton is massless. However, a common feature in several theoretical alternatives of GR is a non-zero mass for the graviton. These theories can be described as massive gravity theories. Despite many theoretical complexities in these theories, on phenomenological grounds the implications of massive gravity have been widely used to put bounds on graviton mass. One of the generic implications of giving a mass to the graviton is that the gravitational potential will follow a Yukawa-like fall off. We use this feature of massive gravity theories to probe the mass of graviton by using the largest gravitationally bound objects, namely galaxy clusters. In this work, we use the mass estimates of galaxy clusters measured at various cosmologically defined radial distances measured via weak lensing (WL) and Sunyaev-Zeldovich (SZ) effect. We also uses the model independent values of Hubble parameter H(z) smoothed by a non-parametric method, Gaussian process. Within 1σ confidence region, we obtain the mass of graviton m g < 5.9 × 10 −30 eV with the corresponding Compton length scale λ g > 6.82 Mpc from weak lensing and m g < 8.31 × 10 −30 eV with λ g > 5.012 Mpc from SZ effect. This analysis improves the upper bound on graviton mass obtained earlier from galaxy clusters.

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Probing the cosmic distance duality relation using time delay lenses

Cited by 43 publications

References 114 publications

Statistical Test of Distance–Duality Relation with Type Ia Supernovae and Baryon Acoustic Oscillations

Statistical Test of Distance–Duality Relation with Type Ia Supernovae and Baryon Acoustic Oscillations

Model-independent Test of the Cosmic Distance Duality Relation

Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters

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