Junction conditions for F(T) gravity from a variational principle

Jesse Velay-Vitow, Andrew DeBenedictis
2017 Physical Review D  
We derive a general set of acceptable junction conditions for F(T) gravity via the variational principle. The analysis is valid for both the traditional form of F(T) gravity theory as well as the more recently introduced Lorentz covariant theory of Krššák and Saridakis. We find that the general junction conditions derived, when applied to simple cases such as highly symmetric static or time dependent geometries (such as spherical symmetry) imply both the Synge junction conditions as well as the
more » ... Israel-Sen-Lanczos-Darmois junction conditions of General Relativity. In more complicated scenarios the junction conditions derived do not generally imply the well-known junction conditions of General Relativity. However, the junctions conditions of de la Cruz-Dombriz, Dunsby, and Sáez-Gómez make up an interesting subset of this more general case.
doi:10.1103/physrevd.96.024055 fatcat:fazrsl5csbgmddx45d7qciiuvm