  This thesis mainly focuses on the Hawking radiation (HR) evacuating from the
surface of the objects that have earned a reputation as the most extraordinary
objects existing so far; the black holes (BHs). Throughout this study, quantum
tunneling (QT) process serves as the model for the HR of scalar, vector and
Dirac particles. The scalar and Dirac particles are anticipated to be tunneling
through the horizon of rotating scalar hairy black holes (RHSBHs); whilst the
vector particles are associated with a rotating warped anti de-Sitter black
hole (WAdS3BH) embedded in a (2+1) dimensional fabric. It is no coincidence
that for all three cases; the standard HT expression is derived. Additionally,
the engagement of conformal field theory (CFT) with anti de-Sitter (AdS) space
presents itself to the reader and the methodologies of Klein-Gordon equation
(KGE), Dirac equation and Proca equations (PEs) are introduced. For all three
cases, Hamilton-Jacobi (HJ) approach is used, together with
Wentzel-Kramers-Brillouin (WKB) Approximation. Finally, the BH structures are
compared with thermodynamics to derive HT with the aid of Boltzmann factor.
