Since your DBConnector isn't managed by the android-system, but you just create it via new, I think the context won't be valid for usage in any method.
Write a class extending OpenHelper to implement your costum-db-schema-update mechanism.
You can implement this class as singleton or store the instance in a costum application class.
As context for things that are not bound to a single activity you should use the application context. Otherwise memoryleaks may be the result.