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00925njm 22002777a 4500 dc Rosa, Joao Luis author Rubiera García, Diego author 2022-11-06 We work out the junction conditions for the Palatini f(R, T) extension of general relativity, where f is an arbitrary function of the curvature scalar R of an independent connection, and of the trace T of the stress -energy tensor of the matter fields. We find such conditions on the allowed discontinuities of several geometrical and matter quantities, some of which depart from their metric counterparts, and in turn extend their Palatini f(R) versions via some new T-dependent terms. Moreover, we also identify some "exceptional cases " of f(R,T) Lagrangians such that some of these conditions can be discarded, thus allowing for further discontinuities in R and T and, in contrast with other theories of gravity, they are shown to not give rise to extra components in the matter sector, e.g., momentum fluxes and double gravitational layers. We discuss how these junction conditions, together with the nonconservation of the stress-energy tensor ascribed to these theories, may induce nontrivial changes in the shape of specific applications such as traversable thin-shell wormholes. 2470-0010 10.1103/PhysRevD.106.064007 https://hdl.handle.net/20.500.14352/72571 http://dx.doi.org/10.1103/PhysRevD.106.064007 https://journals.aps.org/ Junction conditions of Palatini f (R,T) gravity