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00925njm 22002777a 4500 dc Casado Turrión, Adrián author Dobado González, Antonio author Cruz Dombriz, Álvaro de la author 2022-04-28 Gravitational collapse is still poorly understood in the context of f(R) theories of gravity, since the Oppenheimer-Snyder model is incompatible with their junction conditions. In this work, we will present a systematic approach to the problem. Starting with a thorough analysis of how the Oppenheimer-Snyder construction should be generalized to fit within metric f(R) gravity, we shall subsequently proceed to explore the existence of novel exterior solutions compatible with physically viable interiors. Our formalism has allowed us to show that some paradigmatic vacuum metrics cannot represent spacetime outside a collapsing dust star in metric f(R) gravity. Moreover, using the junction conditions, we have found a novel vacuole solution of a large class of f(R) models, whose exterior spacetime is documented here for the first time in the literature as well. Finally, we also report the previously unnoticed fact that the Oppenheimer-Snyder model of gravitational collapse is incompatible with the junction conditions of the Palatini formulation of f(R) gravity. 2470-0010 10.1103/PhysRevD.105.084060 https://hdl.handle.net/20.500.14352/71826 http://dx.doi.org/10.1103/PhysRevD.105.084060 https://journals.aps.org/ Is gravitational collapse possible in f(R) gravity?