Matter stability in modified teleparallel gravity

We study the matter stability in modified teleparallel gravity or f(T) theories. We show that there is no Dolgov-Kawasaki instability in these types of modified teleparallel gravity theories. This gives for the f(T) theories a great advantage over their f(R) counterparts because from the stability point of view there isnʼt any limit on the form of functions that can be chosen.