Bargmann-Wigner Formulation and Superradiance Problem of Bosons and Fermions in Kerr Space-time

Abstract

The superradiance phenomena of massive bosons and fermions in the Kerr spacetime are studied in the Bargmann-Wigner formulation. In case of bi-spinor, the four independent components spinors correspond to the four bosonic freedom: one scalar and three vectors uniquely. The consistent description of the Bargmann-Wigner equations between fermions and bosons shows that the superradiance of the type with positive energy $(0<\omega )$ and negative momentum near horizon $(p_{\mathrm{H}}<0)$ is shown not to occur. On the other hand, the superradiance of the type with negative energy $(\omega <0)$ and positive momentum near horizon $(0<p_{\mathrm{H}})$ is still possible for both scalar bosons and spinor fermions.

References in corpus (4)

• The black hole bomb and superradiant instabilities
• Superradiance and Instability of Black Holes
• Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole Spacetime
• Eigenvalue Problem of Scalar Fields in BTZ Black Hole Spacetime

Cited by in corpus (1)

• Zero, Normal and Super-radiant Modes for Scalar and Spinor Fields in Kerr-anti de Sitter Spacetime