Matter stability in modified teleparallel gravity

TL;DR

This paper investigates the stability of matter in modified teleparallel gravity ($f(T)$ theories), demonstrating the absence of Dolgov-Kawasaki instability, which offers advantages over $f(R)$ theories due to greater flexibility in function choice.

Contribution

It proves that $f(T)$ theories lack Dolgov-Kawasaki instability, highlighting their stability and flexibility compared to $f(R)$ theories.

Findings

No Dolgov-Kawasaki instability in $f(T)$ theories

$f(T)$ theories are more stable than $f(R)$ theories

Unlimited functional forms in $f(T)$ theories

Abstract

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 give the $f(T)$ theories a great advantage over their $f(R)$ counterparts because from the stability point of view there isn't any limit on the form of functions that can be chosen.