A crucial test of the phantom closed cosmological model
S. I. Shirokov, and Yu. V. Baryshev

TL;DR
This paper proposes a direct observational test to distinguish between the standard $\\Lambda$CDM model and a phantom dark energy positive curvature cosmological model, using future gamma-ray burst and gravitational-wave observations, independent of many traditional cosmological data.
Contribution
It introduces a novel, model-independent test based on the distance-flux-redshift relation to differentiate between two cosmological models.
Findings
Test can be performed with future gamma-ray burst data from THESEUS.
Gravitational-wave standard siren observations can also be used.
The test does not depend on CMBR data, large-scale structure, or Hubble constant value.
Abstract
We suggest a crucial direct-observational test for measuring distinction between the standard CDM model and recently proposed phantom dark energy positive curvature cosmological model. The test is based on the fundamental distance--flux--redshift relation for general Friedmann models. It does not depend on the CMBR data, on the large-scale structure growth models, and also on the value of the Hubble constant . Our crucial test can be performed by future gamma-ray burst observations with THESEUS space mission and by using gravitational-wave standard siren observations with modern advanced LIGO--Virgo and also forthcoming LISA detectors.
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