Senjaya D.Mahidol University2023-11-022023-11-022023-11-01Journal of High Energy Astrophysics Vol.40 (2023) , 49-5422144048https://repository.li.mahidol.ac.th/handle/20.500.14594/90889In this work, behaviour of massive and massless scalar particle around a slowly rotating black hole in 3+1 dimension is investigated. Exact solutions of the Klein-Gordon equation, i.e. the wave functions and energy levels are discovered. The quasibound state has complex-valued energy levels E=ER+iEI where the real part ER is directly related to the particle's energy while the imaginary part represents a decay. Using the obtained exact wave solutions near the exterior horizon of the black hole, the Hawking radiation is discussed.Physics and AstronomyArticleSCOPUS10.1016/j.jheap.2023.10.0022-s2.0-85174808730