Classical Solutions of Higher-Derivative Theories

TL;DR

This paper derives exact classical solutions for higher-derivative brane theories, including Galileon limits, revealing throat geometries and conditions for the Vainshtein mechanism, enhancing understanding of brane dynamics.

Contribution

It provides explicit solutions for higher-derivative brane models and connects them to Galileon theories, clarifying their geometric and screening properties.

Findings

Exact solutions describe static and dynamic throats between branes.

Galileon solutions match throat shapes at large distances.

Parameter ranges identified for Vainshtein screening.

Abstract

We present exact classical solutions of the higher-derivative theory that describes the dynamics of the position modulus of a probe brane within a five-dimensional bulk. The solutions can be interpreted as static or time-dependent throats connecting two parallel branes. In the nonrelativistic limit the brane action is reduced to that of the Galileon theory. We derive exact solutions for the Galileon, which reproduce correctly the shape of the throats at large distances, but fail to do so for their central part. We also determine the parameter range for which the Vainshtein mechanism is reproduced within the brane theory.