Accelerating boundary analog of a Kerr black hole

Good, Michael R. R.; Foo, Joshua; Linder, Eric V.

doi:10.1088/1361-6382/abebb6

Cited by 19 publications

(21 citation statements)

References 44 publications

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“…This behaviour is comparable to the analog mirror trajectories for the Kerr and Kerr-Newman black holes [16,17], and is indicative of late-time thermal behaviour.…”

Section: Energy Flux and Particle Spectrumsupporting

confidence: 63%

“…Here, a = J/M is the mass-normalised angular momentum and Q is the charge. Following [16,17], we further restricted our analysis to a plane of constant θ, φ which yields the simplified (1+1)-dimensional metric:…”

Section: Kerr-newman Taub-nut Metricmentioning

confidence: 99%

“…The relativistic trajectory of the mirror, which rapidly changes the boundary conditions of incoming field modes, induces particle production from the quantum vacuum [12,13]. Recently, this model has been applied to the well-known Schwarzschild [14], Reissner-Nordström (RN) [15], Kerr [16] and Kerr-Newman metrics [17], where analytic expressions for the spectra and the late-time thermal emission were derived.…”

Section: Introductionmentioning

confidence: 99%

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Analog Particle Production Model for General Classes of Taub-NUT Black Holes

2021

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We derive a correspondence between the Hawking radiation spectra emitted from general classes of Taub-NUT black holes with that induced by the relativistic motion of an accelerated Dirichlet boundary condition (i.e., a perfectly reflecting mirror) in (1+1)-dimensional flat spacetime. We demonstrate that the particle and energy spectra is thermal at late times and that particle production is suppressed by the NUT parameter. We also compute the radiation spectrum in the rotating, electrically charged (Kerr–Newman) Taub-NUT scenario, and the extremal case, showing, explicitly, how these parameters affect the outgoing particle and energy fluxes.

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“…This behaviour is comparable to the analog mirror trajectories for the Kerr and Kerr-Newman black holes [16,17], and is indicative of late-time thermal behaviour.…”

Section: Energy Flux and Particle Spectrumsupporting

confidence: 63%

Section: Kerr-newman Taub-nut Metricmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analog Particle Production Model for General Classes of Taub-NUT Black Holes

2021

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“…The matching condition (see [ 5 , 30 , 33 ]) with the flat interior geometry, described by the interior coordinates

is the trajectory corresponding to

, expressed in terms of the exterior function

. We can obtain this matching via the association

, and taking

along the light ray,

.…”

Section: Cghs Black Hole and Matching Conditionmentioning

confidence: 99%

“…There have been a number of studies that relate different specific black hole models (e.g., the Schwarzschild [ 21 , 22 , 23 , 24 ] case) and their analog moving mirrors, including the extremal Reissner–Nordström (RN) [ 25 , 26 ], extremal Kerr [ 27 ], RN [ 28 ], Taub-NUT [ 29 ] and Kerr [ 30 ] black holes. In addition, de Sitter and anti-de Sitter cosmologies [ 31 ] are also modeled by moving mirror trajectories.…”

Section: Introductionmentioning

confidence: 99%

CGHS Black Hole Analog Moving Mirror and Its Relativistic Quantum Information as Radiation Reaction

Myrzakul

Xiong

Good

2021

Entropy

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The Callan–Giddings–Harvey–Strominger black hole has a spectrum and temperature that correspond to an accelerated reflecting boundary condition in flat spacetime. The beta coefficients are identical to a moving mirror model, where the acceleration is exponential in laboratory time. The center of the black hole is modeled by the perfectly reflecting regularity condition that red-shifts the field modes, which is the source of the particle creation. In addition to computing the energy flux, we find the corresponding moving mirror parameter associated with the black hole mass and the cosmological constant in the gravitational analog system. Generalized to any mirror trajectory, we derive the self-force (Lorentz–Abraham–Dirac), consistently, expressing it and the Larmor power in connection with entanglement entropy, inviting an interpretation of acceleration radiation in terms of information flow. The mirror self-force and radiative power are applied to the particular CGHS black hole analog moving mirror, which reveals the physics of information at the horizon during asymptotic approach to thermal equilibrium.

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On the duality of Schwarzschild–de Sitter spacetime and moving mirror

Fernández-Silvestre

Foo

Good

2022

Class. Quantum Grav.

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The Schwarzschild-de Sitter (SdS) metric is the simplest spacetime solution in general relativity with both a black hole event horizon and a cosmological event horizon. Since the Schwarzschild metric is the most simple solution of Einstein's equations with spherical symmetry and the de Sitter metric is the most simple solution of Einstein's equations with a positive cosmological constant, the combination in the SdS metric defines an appropriate background geometry for semi-classical investigation of Hawking radiation with respect to past and future horizons. Generally, the black hole temperature is larger than that of the cosmological horizon, so there is heat flow from the smaller black hole horizon to the larger cosmological horizon, despite questions concerning the definition of the relative temperature of the black hole without a measurement by an observer sitting in an asymptotically flat spacetime. Here we investigate the accelerating boundary correspondence (ABC) of the radiation in SdS spacetime without such a problem. We have solved for the boundary dynamics, energy flux and asymptotic particle spectrum. The distribution of particles is globally non-thermal while asymptotically the radiation reaches equilibrium.

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Accelerating boundary analog of a Kerr black hole

Cited by 19 publications

References 44 publications

Analog Particle Production Model for General Classes of Taub-NUT Black Holes

Analog Particle Production Model for General Classes of Taub-NUT Black Holes

CGHS Black Hole Analog Moving Mirror and Its Relativistic Quantum Information as Radiation Reaction

On the duality of Schwarzschild–de Sitter spacetime and moving mirror

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