Quantization of a scalar field in the Kerr spacetime

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Gravitational Fields, Particle Emission, Quantum Theory, Scalars, Space-Time Functions, Metric Space, Pair Production, Spontaneous Emission

Scientific paper

The interaction of a scalar field with the Kerr gravitational field is studied. The properties of the Klein-Gordon equation in the Kerr metric are reviewed, and a two-component formalism is developed. This formalism expresses the one-particle quantum theory for a massive scalar particle in the Kerr metric. A semiclassical analysis of the spontaneous emission of particles by a Kerr black hole is given. The quantization of a scalar field in the Kerr metric is developed, and a treatment of the spontaneous particle creation is given. The particular quantization given here leads to emission only into the classical superradiant modes and hence no emission by a Schwarzschild black hole.

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