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

Abstract

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 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.

14 pages, 1 figure. Updated version contains clarification on the role of the spin connection and a number of added references. Matches version accepted for publication in Phys. Rev. D

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• Conformally symmetric traversable wormholes in modified teleparallel gravity
• Cosmological reconstructed solutions in extended teleparallel gravity theories with a teleparallel Gauss-Bonnet term
• Boson stars in $f(T)$ extended theory of gravity
• On spherically symmetric vacuum solutions and horizons in covariant $f(T)$ gravity theory
• Variational Problem and Bigravity Nature of Modified Teleparallel Theories
• Matching tetrads in f(T) gravity
• Regular solutions in $f(T)$-Yang-Mills theory
• Chronology protection in $f(T)$ gravity: the case of Gott's pair of moving cosmic strings
• White Dwarf Envelops and Temperature Corrections in Exponential $f(T)$ Gravity
• An analysis of Born-Infeld boson compact objects