Forecasting constraints on the cosmic duality relation with galaxy clusters

Abstract

One of the fundamental hypotheses in observational cosmology is the validity of the so-called cosmic distance-duality relation (CDDR). In this paper, we perform Monte Carlo simulations based on the method developed in Holanda, Goncalves & Alcaniz (2012) [JCAP 1206 (2012) 022] to answer the following question: what is the number of galaxy clusters observations N_{crit} needed to check the validity of this relation at a given confidence level? At 2σ, we find that N_{crit} should be increased at least by a factor of 5 relative to the current sample size if we assume the current observational uncertainty σ_{obs}. Reducing this latter quantity by a factor of 2, we show that the present number of data would be already enough to check the validity of the CDDR at 2σ.

5 pages, 3 figures, latex

References in corpus (5)

• X-ray and Sunyaev-Zel'dovich Effect Measurements of the Gas Mass Fraction in Galaxy Clusters
• Testing the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernovae
• Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova
• Cosmological Tests of the Disformal Coupling to Radiation
• The Beta-Model Problem: The Incompatibility of X-ray and Sunyaev-Zeldovich Effect Model Fitting for Galaxy Clusters

Cited by in corpus (5)

• Assessment of the cosmic distance duality relation using Gaussian Process
• Revisiting the distance duality relation using a non-parametric regression method
• The gas depletion factor in galaxy clusters: implication from Atacama Cosmology Telescope Polarization experiment measurements
• Constraints on the cosmic distance duality relation with simulated data of gravitational waves from the Einstein Telescope
• Reconstruct the Distance Duality Relation by Gaussian Process