A Sternum piercing is located  between the breasts,  piercing on the breast has no special name.

You also can create the same effect by placing two Dermal Anchor (Implants) 

Whether it’s for a man or a woman, anyone can get a surface piercing in the chest area. That said, women tend to get surface piercings between the breasts, and men frequently opt for a dermal anchor on the chest.

General:

A surface piercing is any body piercing which is performed on a surface of the body/skin which is neither convex nor concave (i.e. flat skin surfaces which neither protrude nor are indented). This means that the entry and exit points are on the same plane, which gives that characteristic impression that the balls have been casually placed on the surface of the skin. However, given that surface piercings are subjected to tension, they will also tend to be rejected and grow out. This risk can be minimized by using the appropriate form of jewelry and the correct placement.

Keep in mind that the healing process is considerably longer with this kind of piercing.

Using the right kind of jewelry and a precise placement, however, the risks are minimal. We also use 90° titanium surface bars for this purpose.

Jewelry:

The so-called surface bars are specially designed for surface piercings. These are barbells with two 90° bends at the end (going in the same direction) which reduce the amount of tension.

Flexible PTFE jewelry is also a popular choice. The straight shape of this material does adapt itself to the curvature of the piercing canal, but due to its tendency to reassume its original line, it ends up exerting constant pressure on the canal.

Placement:

The piercing canal must have the right depth for a surface piercing. If the surface bar is too shallow, the jewelry will come loose. The ends will protrude too far from the piercing canal, and risk leaning to one side and tearing the surrounding tissue. On the other hand, if it is too deep, the balls at either end will put too much pressure on the skin and lead to rashes and inflammations.

Healing and care:

A surface piercing on the breast/chest can take between 2 and 4 months to heal completely, rarely longer. Like other external piercings, in the first three weeks it should be cleaned with ProntoLind spray twice a day, and then coated with ProntoLind gel. It is important to wash your hands before touching the pierced area and the jewelry itself. By caring for the piercing in the correct manner and with the proper materials, you will rarely have to deal with cases of proud flesh.

Disinfectant solutions containing alcohol or chlorine should be avoided.