Abstract

We study the quantum analogue of the classical process of superradiance for a massless charged scalar field on a static charged black hole space-time. We show that an “in” vacuum state, which is devoid of particles at past null infinity, contains an outgoing flux of particles at future null infinity. This radiation is emitted in the superradiant modes only, and is nonthermal in nature.

Highlights

  • In the classical phenomenon of superradiance, a wave is amplified during a scattering process, resulting in a reflected wave with greater amplitude than the incident wave [1]

  • A charged scalar field wave is amplified upon scattering on the RN black hole if its frequency is sufficiently low

  • On rotating Kerr black hole space-times, there is a quantum analogue of the classical superradiance process [9, 10], known as Starobinskii-Unruh radiation

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Summary

Introduction

In the classical phenomenon of superradiance, a wave is amplified during a scattering process, resulting in a reflected wave with greater amplitude than the incident wave [1]. A charged scalar field wave is amplified upon scattering on the RN black hole if its frequency is sufficiently low. On rotating Kerr black hole space-times, there is a quantum analogue of the classical superradiance process [9, 10], known as Starobinskii-Unruh radiation. As with Starobinskii-Unruh radiation, a charged black hole spontaneously emits particles in the classically-superradiant modes, resulting in nonthermal emission [13,14,15,16]. We consider a massless charged scalar field minimally coupled to the RN space-time geometry and construct natural “in” and “out” vacuum states.

Classical superradiance on static black hole space-times
Quantum superradiance for a charged scalar field
Observables

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