Bargmann-Wigner Equations, Fermion-Boson Correspondence and Superradiant Problem in Curved Spacetime

Abstract

Bargmann-Wigner equations and their solutions are studied in (3+1)-dimensional curved spacetime. Fermion-Boson correspondence for bi-spinor case is studied through the Bargmann-Wigner equations and solutions over curved spacetime. As an application to scattering phenomena of massive Fermions and Bosons on the rotating black holes, the superradiance with negative energy $(\omega <0)$ and positive effective energy in co-rotating coordinate system near horizon $(\omega -m{\Omega }_H>0)$ is possible to occur as stable physical states in Kerr spacetime.