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

TL;DR

This paper uses Bargmann-Wigner equations to analyze superradiance phenomena of bosons and fermions in rotating black hole spacetime, showing that certain types of superradiance do not occur when both are consistently described.

Contribution

It introduces a Bargmann-Wigner formulation to unify the description of bosonic and fermionic fields in curved spacetime for black hole superradiance analysis.

Findings

Superradiance phenomena of positive frequency and negative momentum near horizon do not occur.

Consistent description between scalar bosons and spinor fermions is achieved.

The formulation clarifies conditions under which superradiance is suppressed.

Abstract

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.