Graduate Program in Physics.Akant, Levent.Debir, Birses.2023-03-162023-03-162015.PHYS 2015 D43https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13596In this thesis we focus on the Bose-Einstein Condensation of a pure Bose gas con ned in a box placed near the horizon. Then, we formulate the nite size e ects in the limit m ! 0. We look for the number of excited particles, as well as free energy and entropy. During these processes, we used the Heat kernel expansion and the Mellin Barnes transform.30 cm.Bose-Einstein gas.Bose-Einstein condensation.Non - relativistic bose gas in curved backgroundix, 51 leaves ;