Domain walls in Horndeski gravity

TL;DR

This paper explores domain wall solutions in Horndeski gravity, revealing stable, non-decaying walls connecting different vacua, including BPS solutions that are static and infinite, similar to supergravity vacua.

Contribution

It demonstrates the existence of domain walls in Horndeski gravity that connect asymmetric vacua and identifies BPS solutions that are stable and static.

Findings

Existence of domain walls connecting asymmetric vacua.

BPS domain walls are static and infinite in the thin wall limit.

False vacua do not decay via Coleman-de Luccia mechanism.

Abstract

The Horndeski gravity yields domain wall solutions that connect asymmetric vacua for a certain region of parameters. In the thin wall limit there exist BPS domain walls that connect stable vacua. That is, the false vacua in this theory follows the same effect obtained in supergravity vacua, i.e., it does not decay according to Coleman-de Luccia theory and the BPS solutions interpolating different vacua, e.g., non-degenerate AdS vacua, are static infinite planar domain walls separating vacua associated with different spacetimes.