Vainshtein mechanism in general purely disformal gravity theory

TL;DR

This paper investigates a purely disformal gravity theory derived from Einstein-Hilbert action, finding the absence of self-accelerating solutions and Vainshtein mechanism, yet showing it can mimic Einstein gravity without it.

Contribution

It introduces and analyzes a new class of disformal gravity theories, revealing their unique properties and differences from standard models.

Findings

Self-accelerating solutions are absent.

Vainshtein mechanism is not present.

Theory can mimic Einstein gravity without Vainshtein.

Abstract

We study a theory of gravity in which the action is a result from the general purely disformal transformation on the Einstein-Hilbert action. This theory is a sub-class of GLPV theory which is the the generalization of covariant Galileon. Nevertheless, we find that the self accelerating solution for the background universe disappears in this theory. We also find that, for this theory, the Vainshtein mechanism is absent. However, the Vainshtein mechanism is not necessary for this theory, because this theory can nearly mimic the Einstein theory of gravity at all scales inside the Huble radius without this mechanism.