Initialize member string with class object name in C++?

Question

Is there a way to instantiate an object and have a string member take the object's name? I would also not mind for a gcc builtin.

Here's an example:

#include <string>

class A
{
    std::string obj_name_ = /* set to the objects name (very_descriptive_name) somehow */ ;
};

A very_descriptive_name; // naming the *object* should be enough, do we really have to initialize the string with exactly the same name?

The string is later used for recognisability.