Medical or dental instruments having a lighting device, manufacturing methods for such instruments and various lighting devices having an optical semiconductor element are described. The lighting devices have, for example, a body, at least one radiation-emitting surface on a radiation-emitting end of the body and at least one fluid channel which is provided in the body and connects at least one opening which is provided on the radiation-emitting end to one or more fluid sources for dispensing fluid. The lighting devices have, for example, a hollow metallic sleeve, a transparent window for emission of electromagnetic radiation and a socket on which at least one optical semiconductor element is arranged. The socket is made of a ceramic, glass ceramic or glass material, and is connected to the hollow metallic sleeve by a material comprising metal and glass.