(2019), and Risaliti and Lusso (2019), the deviation between the best fit model and the ΛCDM model was noticed by comparing cosmological parameters derived from cosmographic expansions of their theoretical predictions and observed high redshift Hubble diagram. Here we use the same data to investigate if this tension is confirmed, using a different approach: actually in Lusso and Risaliti (2016), Lusso et al. Recently, it turned out that the standard flat ΛCDM is disfavored (at 4σ) when confronted with a high redshift Hubble diagram, consisting of supernovae of type Ia (SNIa), quasars (QSOs), and gamma ray-bursts (GRBs) ( Lusso and Risaliti, 2016 Lusso et al., 2019 Risaliti and Lusso, 2019). Several models of dark energy have been proposed: a non-zero cosmological constant, a potential energy of some self interacting scalar field, effects related to the non-homogeneous distribution of matter, or effects due to alternative theories of gravity. The nature of dark energy is yet unknown. Several independent cosmological data, collected within the last 20 years, revealed the accelerated expansion rate of the Universe, usually assumed to be driven by the so called dark energy, which, according to recent estimates, provides now about 70% of the total amount of matter-energy in the Universe. 7Istituto Nazionale di Astrofisica-Osservatorio Astronomico di Capodimonte, Naples, Italy. 6Istituto Nazionale di Fisica Nucleare-Sezione di Naples, Naples, Italy.5Dipartimento di Fisica, Università degli Studi di Naples Federico II, Naples, Italy.4Istituto Nazionale di Astrofisica-Osservatorio Astrofisico di Arcetri, Florence, Italy.3Dipartimento di Fisica e Astronomia, Università di Firenze, Florence, Italy.2Department of Astronomy, Williams College, Williamstown, MA, United States.1Department of Physics, Institute for Theoretical Physics, University of Warsaw, Warsaw, Poland.Marek Demianski 1,2, Elisabeta Lusso 3,4, Maurizio Paolillo 5,6,7, Ester Piedipalumbo 5,6 * and Guido Risaliti 3,4
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