Your class is a POD (essentially because it doesn’t provide a default constructor). POD variables are not initialized upon declaration. That is, this:
foo x;
does not initialize x to a meaningful value. This has to be done separately. Now, when you declare it as const, this may never happen because you cannot assign to or change x any more.
Consider the equivalence to int:
int x; // legal
const int y; // illegal
As you have noticed, using std::string instead of foo compiles. That’s because std::string is not a POD. A simple solution to your dilemma is to provide a default constructor for foo:
class foo {
public:
foo() { }
};
Now your const foo x; code compiles.