Return a local C-string for function with C++ string return value

The following piece of code compiles and runs without errors and with the expected output:

#include <string>
#include <iostream>
using namespace std;

string getString()
{
    char s[] = "Hello world!";
    return s;
}

int main()
{
    cout << getString() << endl;
}

My question is, will this always work? Ordinarily if you return a C-string that was declared locally you can run into some undefined behavior, but in this case is that still a problem since it is run through the string constructor and (presumably) copied into dynamic memory?