Stability of a scalar potential under gravity

TL;DR

This paper demonstrates that the thin-wall approximation is essential for gravitational stability of scalar potentials, challenging the view that it is merely an assumption.

Contribution

It establishes the thin-wall approximation as a necessary condition for gravitational stability, clarifying its fundamental role.

Findings

Thin-wall approximation is necessary for stability.

Challenges previous assumptions about the approximation.

Provides criteria for gravitational stability of scalar potentials.

Abstract

In the present note we show that the thin-wall approximation is not an assumption rather a necessary condition for satisfying Boucher's criteria for gravitational stability of the scalar potential.