# Is general relativity a background dependent theory in five dimensions?

I read the article What is a background-free theory? by John Baez and was wondering that if I add a fifth dimension to a background independent theory like general relativity I get a background dependent theory like the Maxwell's equations. The only difference: In Maxwell's equations you have electromagnetic fields. In five dimensions you have spacetime fields,- or spacetime-fluidflows or whatever you want to call it. I couldn't find good arguments against or in favor of this viewpoint.

A background consists of non-dynamical data for a theory. E.g. for field theories in curved spacetimes, the metric $g_{\mu\nu}$ is a non-dynamical fixed background. In contract, for general relativity in any spacetime dimension, the metric $g_{\mu\nu}$ is a dynamically active field, and hence not a background.