At this time I am unable to generate static Linux builds. The recent Strava patch introduced the need for the QtScript library. The problem is that when you have Qt built statically (which I have done) you cannot use this library and the QtWebKit library at the same time.
I have been building Qt and GoldenCheetah statically so as to allow the same executable to be used over may different Linux platforms. This is now no longer possible. I am going to attempt to learn how to use some different tools out there that may allow me to build GoldenCheetah in a dynamic way and allow for easy distribution to multiple platforms.
Until then, please use the information in INSTALL_LINUX file to build your own dynamic builds.