Deleting an object via std::weak_ptr

I have a std::vector with thousands of objects, stored as shared_ptr. Since the object has many attributes that can be used for searching, I maintain multiple indexes to this std::vector on std::map and std::multimap using weak_ptr.

std::vector<std::shared_ptr<Object>> Objects;
std::map<int,std::weak_ptr<Object>> IndexByEmployeeId;
std::multimap<std::string,std::weak_ptr<Object>> IndexByName;

Since the map and multimap are balanced binary trees, the search/modify are super fast. However, I am a bit foxed about delete. I want to delete after looking up the object via one of the indexes. Locking the weak_ptr gives me shared_ptr, but it doesn't allow me to destroy object on the vector. Is there any way to delete the original object on the vector?