Superradiance Problem of Bosons and Fermions for Rotating Black Holes in Bargmann-Wigner Formulation

Bargmann-Wigner equations are formulated to represent bosonic fields in terms of fermionic fields in curved spacetime. The superradiance phenomena of bosons and fermions in rotating black hole spacetime are studied in the Bargmann-Wigner formulation. As a result of the consistent description between scalar bosons and spinor fermions, superradiance phenomena of the type of positive frequency $(0<\omega )$ and negative momentum near horizon $(p_H<0)$ are shown not to occur.