Sango, MamadouTadmon, Calvin2015-03-032015-03-032014Sango, M & Tadmon, C 2014, 'On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates', Rendiconti del Seminario Matematico della Università di Padova/The Mathematical Journal of the University of Padua, vol. 131, pp. 179-192.0041-8994 (print)2240-2926 (online)10.4171/RSMUP/131-10http://hdl.handle.net/2263/43836Weanalyze the Einstein-Maxwell equations for an irrotational stiff fluid. Under the spherical symmetry assumption on the space-time, in Bondi coordinates, the considered model is reduced to a nonlinear evolution system of partial integrodifferential equations. Assuming regularity at the center of symmetry and that the matter content of the initial light cone is the so-called null dust, the characteristic initial value problem associated to the obtained system is solved globally by a contraction mapping argument. In future work we will address the issue of global well-posedness for the considered model in other physically interesting cases where the matter content of the initial light cone is not the null dust.en© 2014 EMS Publishing House. All rights reserved.Characteristic Cauchy problemEinstein-Maxwell-Euler equationsSpherical symmetryIrrotational perfect fluidBondi coordinatesOn global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinatesArticle