GRB Cosmography with THESEUS

Gamma-ray Bursts can be used as distance indicators using the Combo relation. We show how the proposed THESEUS mission will allow us to investigate the evolution history of the Universe at high redshift with GRBs. Assuming that THESEUS will measure the redshift for 800 GRBs, we show that the accuracy on the cosmological parameters of the main cosmological models will greatly improve, so that we can use GRBs as additional and independent cosmological probes and also put strong constraints on the evolution of the dark energy equation of state parameter $w(z)$.
Comment: To be published in the Proceedings of the THESEUS Workshop 2017 (http://www.isdc.unige.ch/theseus/workshop2017.html), Journal of the Italian Astronomical Society (Mem.SAIt), Editors L. Amati, E. Bozzo, M. Della Valle, D. Gotz, P. O'Brien. Details on the THESEUS mission concept can be found in the white paper Amati et al. 2017 (arXiv:171004638) and Stratta et al. 2017 (arXiv:1712.08153)