Pedro Montero - May 15, 2015 Relativistic collapse of rotating supermassive stars with thermonuclear effects I will present results of general relativistic simulations of collapsing supermassive stars with and without rotation using a two-dimensional general relativistic numerical code. These numerical simulations use an equation of state which includes effects of gas pressure, and in a tabulated form those associated with radiation and the electron-positron pairs. We also take into account the effect of thermonuclear energy released by hydrogen and helium burning. We find that objects with a mass of 5x10^{5} solar mass and an initial metallicity greater than Z_{CNO}~0.007 do explode if non-rotating, while the threshold metallicity for an explosion is reduced to Z_{CNO}~0.001 for objects uniformly rotating. The critical initial metallicity for a thermonuclear explosion increases for stars with mass ~10^{6} solar mass. For those stars that do not explode we follow the evolution beyond the phase of black hole formation. Finally, I will briefly discuss a new method that allows to perform 3D numerical relativity simulations using spherical polar coordinates and its application to the investigation of the gravitational collapse of very massive and supermassive stars.