Generalized Bargmann-Wigner equations in curved space-time

Masakatsu Kenmoku1

Abstract

The Bargmann-Wigner equations are formulated to represent bosonic fields in terms of fermionic fields in curved space-time. The bispinor field is explicitly studied including lower spin states. The correspondence among fermions and bosons through bispinors is applied to the superradiance problem in Kerr black-hole spacetime. Superradiance phenomena of the type of positive frequency (0 < ω) and negative momentum near the horizon (pH < 0) are shown not to occur.

References

  1. V. Bargmann and E. P. Wigner, Proc. Nat. Acad. Sci. (USA) 34, 211 (1948).
  2. M. Kuwata, M. Kenmoku, and K. Shigemoto, Prog. Theor. Phys. 119, 939 (2008); M. Kuwata, M. Kenmoku, and K. Shigemoto, Class. Quantum Grav. 25, 145016 (2008).
  3. M. Kenmoku, arXiv: 1208.0644.
  4. Y. M. Cho and M. Kenmoku, Bargmann-Wigner Formulation and Superradiance Problem of Bosons and Fermions in Kerr Space-time', (2014).
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