Quantization of a charged scalar field on a charged black hole background

Balakumar, Visakan; Bernar, Rafael P.; Winstanley, Elizabeth

doi:10.1103/physrevd.106.125013

“…We begin our study of quantum states for a charged scalar field on an RN black hole with an uncontroversial state, namely the Unruh state. The construction of this state follows that in the Kerr case, resulting in the unrenormalized expectation values [18,20] U| Ô|U = 1 2…”

Section: Unruh State On Rnmentioning

confidence: 99%

Superradiance and quantum states on black hole space-times

Balakumar¹,

Bernar²,

Winstanley³

2023

Preprint

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We consider the definition of the Boulware and Hartle-Hawking states for quantum fields on black hole space-times. The properties of these states on a Schwarzschild black hole have been understood for many years, but neither of these states has a direct analogue on a Kerr black hole. We show how superradiant modes play an important role in the definition of quantum states on Kerr. Superradiance is also present on static black hole space-times, in particular for a charged scalar field on a Reissner-Nordström black hole. We explore whether analogues of the Boulware and Hartle-Hawking states exist in this situation.

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“…We now turn to the main focus of this report, the quantization of a charged scalar field on a Reissner-Nordström (RN) black hole. This section constitutes an outline of the results in [17,18] to which the reader is referred for further details.…”

Section: Charged Scalar Field On Reissner-nordström Black Holementioning

confidence: 99%

“…We begin our study of quantum states for a charged scalar field on an RN black hole with an uncontroversial state, namely the Unruh state. The construction of this state follows that in the Kerr case, resulting in the unrenormalized expectation values [18,20]…”

Section: Unruh State On Rnmentioning

confidence: 99%

“…As in the Kerr case, there are no particles in the "in" modes and a thermal distribution of particles in the "up" modes, with the frequency ω (the natural frequency for the "up" modes) in the thermal factor. The thermal nature is clear from the expressions for the fluxes of charge and energy in this state [18,20]:…”

Section: Unruh State On Rnmentioning

confidence: 99%

“…We denote the resulting vacuum state |B 1 ⟩. The construction gives the following unrenormalized expectation values [18] ⟨B…”

Section: Boulware State On Rnmentioning

confidence: 99%

See 2 more Smart Citations

Superradiance and quantum states on black hole space-times

Balakumar

¹

,

Bernar

²

,

Winstanley

³

2023

J. Phys.: Conf. Ser.

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0

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We consider the definition of the Boulware and Hartle-Hawking states for quantum fields on black hole space-times. The properties of these states on a Schwarzschild black hole have been understood for many years, but neither of these states has a direct analogue on a Kerr black hole. We show how superradiant modes play an important role in the definition of quantum states on Kerr. Superradiance is also present on static black hole space-times, in particular for a charged scalar field on a Reissner-Nordström black hole. We explore whether analogues of the Boulware and Hartle-Hawking states exist in this situation.

show abstract