MG13 - Talk detail

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Palatini f(R) theories of gravity are those defined by considering metric and connection as independent fields. In this version of f(R) theories matter plays an active role in the construction of the connection, which is no longer the Levi-Civita connection of the metric. As a consequence, Palatini theories are very successful addressing several aspects of Quantum Gravity phenomenology at a classical (effective) level. In this talk we shall provide some insights on how quantum gravitational effects could affect the interior or black holes, by considering a specific model containing a correction term that generates nonperturbative dynamics at the Planck scale. As far as the trace of the energy-momentum tensor of the matter is concerned in the equations, static charged black holes deviating from their General Relativity counterparts only exist when nonlinear electrodynamics models are considered. Such black holes must be seen as the simplest extensions of the Reissner-Nordstr\"om solution of the Einstein-Maxwell field equations in this context, modifying its properties in terms of horizons and singularities

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