Classical Solutions of Higher-Derivative Theories

Understand

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.