Foster is a small lunar crater that lies to the southeast of the larger crater Joule, on the far side. The rim is slightly eroded, and the narrow inner walls slope directly down to the dark interior floor. The rim has a small outward bulge along the southwest side. There is a small craterlet on the floor next to the northern rim. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.