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We derive a general set of acceptable junction conditions for $F(T)$ gravityvia the variational principle. The analysis is valid for both the traditionalform of $F(T)$ gravity theory as well as the more recently introduced Lorentzcovariant theory of Kr\v{s}\v{s}\'ak and Saridakis. We find that the generaljunction conditions derived, when applied to simple cases such as highlysymmetric static or time dependent geometries (such as spherical symmetry)imply both the Synge junction conditions as well as theIsrael-Sen-Lanczos-Darmois junction conditions of General Relativity. In morecomplicated scenarios the junction conditions derived do not generally implythe well-known junction conditions of General Relativity. However, thejunctions conditions of de la Cruz-Dombriz, Dunsby, and S\'aez-G\'omez make upan interesting subset of this more general case.

Junction Conditions for F(T) Gravity from a Variational Principle