Instability of Static Semi-Closed Worlds in Generalized Galileon Theories

TL;DR

This paper demonstrates that stable, static, spherically symmetric semi-closed worlds cannot exist in generalized Galileon theories within general relativity, and such objects would appear as negative mass entities if they did.

Contribution

It provides a theoretical proof of the instability and non-existence of semi-closed worlds in a broad class of generalized Galileon theories.

Findings

Semi-closed worlds are unstable or non-existent in these theories.

If semi-closed worlds exist with specific pressure conditions, they would appear as negative mass objects.

The results constrain the types of exotic structures possible in generalized Galileon models.

Abstract

We consider generalized Galileon theories within general relativity in four-dimensional space-time. We provide the argument showing that the generalized Galileons described by a wide class of Lagrangians do not admit stable, static, spherically symmetric semi-closed worlds. We also show that in a class of theories with $p_{\perp} = - \rho$ (where $p_{\perp}$ is transverse pressure and $\rho$ is energy density), semi-closed worlds, if exist, would be observed as objects of negative mass.