Two new tests to the distance duality relation with galaxy clusters
S. Santos-da-Costa, V. C. Busti, R. F. L. Holanda

TL;DR
This paper proposes two novel, non-parametric tests using galaxy cluster data and H(z) measurements to verify the cosmic distance duality relation, finding no evidence of deviation and supporting current cosmological models.
Contribution
The paper introduces two new tests for the cosmic distance duality relation based on galaxy clusters and Gaussian Processes, enhancing the methods for testing fundamental cosmological assumptions.
Findings
No evidence of deviation from the relation was found.
Results reinforce the validity of current cosmological and astrophysical hypotheses.
The methods provide robust, model-independent constraints on the relation.
Abstract
The cosmic distance duality relation is a milestone of cosmology involving the luminosity and angular diameter distances. Any departure of the relation points to new physics or systematic errors in the observations, therefore tests of the relation are extremely important to build a consistent cosmological framework. Here, two new tests are proposed based on galaxy clusters observations (angular diameter distance and gas mass fraction) and measurements. By applying Gaussian Processes, a non-parametric method, we are able to derive constraints on departures of the relation where no evidence of deviation is found in both methods, reinforcing the cosmological and astrophysical hypotheses adopted so far.
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