Minkowski space in f (T) gravity

Jose Beltrán Jiménez, Universidad de Salamanca
Alexey Golovnev, The British University in Egypt
Tomi Koivisto, Tartu Ülikool
Hardi Veermäe, National Institute of Chemical Physics and Biophysics, Tallinn

Abstract

The full set of solutions of f(T) gravity with the Minkowski metric is considered in this note. At the fourth order in perturbations around the trivial tetrad solution, a new mode is found explicitly. Its presence signals a strong coupling problem that transcends the Minkowski background and also suggests the ill-defined nature of cosmological solutions.