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On the junction conditions in $f(R)$-gravity with torsion

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arxiv 1801.08344 v3 pith:NETUBLFP submitted 2018-01-25 gr-qc

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keywords conditionsjunctiongravitytorsioncasescouplingdealtderiving
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abstract

Junction conditions are discussed within the framework of $f(R)$-gravity with torsion. After deriving general junction conditions, the cases of coupling to a Dirac field and a spin fluid are explicitly dealt with. The main differences with respect to Einstein--Cartan--Sciama--Kibble theory $\left(f(R)=R\right)$ are outlined.

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