The gamma-ray bursts fundamental plane correlation as a cosmological tool

Cosmological models and their corresponding parameters are widely debated because of the current discrepancy between results Hubble constant, $H_{0}$, obtained by SNe Ia, Planck data from Cosmic Microwave Background Radiation. Thus, considering high redshift probes like Gamma-Ray Bursts (GRBs) is a necessary step. However, using GRB correlations physical features to infer cosmological difficult luminosities span several orders magnitude. In our work, we use 3-dimensional relation peak prompt luminosity, rest-frame time at end X-ray plateau, its luminosity in X-rays: so-called 3D Dainotti fundamental plane relation. We correct this selection evolutionary effects with reliable statistical method, obtaining lower central value for intrinsic scatter, $\sigma_{int}=0.18 \pm 0.07$ (47.1 \%) compared previous results, when adopt particular set GRBs well-defined morphological features, called platinum sample. have used alone both Gaussian uniform priors on combination Ia BAO measurements matter density universe ($\Omega_{M}$), dark energy parameter $w$ $w$CDM model. Our consistent given $\Lambda$CDM model but advantage detected up $z=5$, much larger than one observed furthest Ia.