The .metadata folder is stored inside your Eclipse workspace, and Eclipse changes stuff in it every time you open Eclipse (and while Eclipse is open too).
Your Eclipse workspace should be kept separate from your git repo.
E.g. C:\git\AvocetRepo for your git repo
And C:\Users\elizabeth\workspace305 for your Eclipse workspace.
(You can import the existing projects from the git repo into your workspace, and it doesn't physically move the projects into the workspace folder -- the workspace just knows where to go looking for the project files.)