Quasinormal modes of the BTZ black hole under scalar perturbations with a non-minimal coupling: Exact spectrum.
TLDR
In this article, the authors perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and compute the quasinormal spectrum exactly.Abstract:
We perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and we compute the quasinormal spectrum exactly. We solve the radial equation in terms of hypergeometric functions, and we obtain an analytical expression for the quasinormal frequencies. In addition, we compare our analytical results with the 6th order semi-analytical WKB method, and we find an excellent agreement. The impact of the nonminimal coupling as well as of the cosmological constant on the quasinormal spectrum is briefly discussed.read more
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Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations.
TL;DR: The WKB approach for finding quasinormal modes of black holes, suggested in [1] by Schutz and Will at the first order and later developed to higher orders [2-4], became popular during the past decades, because, unlike more sophisticated numerical approaches, it is automatic for different effective potentials and mostly provides sufficient accuracy as discussed by the authors.
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Photon trajectories on a first order scale-dependent static BTZ black hole
TL;DR: In this article, the motion of massless particles on a static BTZ black hole background is studied in the context of scale-dependent gravity, which is characterized by the running parameter e.g.
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The Sagnac effect on a scale-dependent rotating BTZ black hole background
Ángel Rincón,J. R. Villanueva +1 more
TL;DR: In this article, the Sagnac effect was investigated by calculating the difference in travel time and phase shift observed for photon beams counterpropagating in a rotating interferometer on a BTZ black hole solution in the context of scale-dependent gravity.
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Quasinormal modes of charged black holes in Einstein-Maxwell-Weyl gravity
TL;DR: In this article, the authors studied quasinormal modes (QNMs) of charged black holes in the EMW gravity by adopting the test scalar field perturbation and found that the imaginary part of QNM frequencies is consistently negative for different angular parameters l, indicating that these modes always decay and therefore stable.
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Propagation of a scalar field with non-minimal coupling in three dimensions: Hawking radiation and Quasinormal modes
TL;DR: In this article, an exact spectrum of quasi normal modes (QNMs) for perturbations of a scalar field coupled non-minimally with the Einstein tensor of an uncharged, non-rotating Banados, Teitelboim, and Zanelli (BTZ) black hole in three-dimensional spacetime is investigated.
References
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Particle Creation by Black Holes
TL;DR: In this article, it is shown that quantum mechanical effects cause black holes to create and emit particles as if they were hot bodies with temperature, which leads to a slow decrease in the mass of the black hole and to its eventual disappearance.
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Black hole explosions
TL;DR: In this article, it was shown that any black hole will create and emit particles such as neutrinos or photons at just the rate that one would expect if the black hole was a body with a temperature of (κ/2π) (ħ/2k) ≈ 10−6 (M/M)K where κ is the surface gravity of the body.
Book
The Mathematical Theory of Black Holes
TL;DR: In a course of lectures on the underlying mathematical structures of classical gravitation theory given in 1978, Brandon Carter as discussed by the authors began with the statement ‘If I had been asked five years ago to prepare a course for recent developments in classical gravity theory, I would not have hesitated on the classical theory of black holes as a central topic of discussion. But I am grateful to them for their courtesy in assigning to me this privilege.
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Black hole in three-dimensional spacetime.
Máximo Bañados,Máximo Bañados,Máximo Bañados,Claudio Teitelboim,Claudio Teitelboim,Claudio Teitelboim,Jorge Zanelli,Jorge Zanelli,Jorge Zanelli +8 more
TL;DR: The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution that appears as a negative energy state separated by a mass gap from the continuous black hole spectrum.
Black Hole Explosions
TL;DR: In this article, it was shown that any black hole will create and emit particles such as neutrinos or photons at just the rate that one would expect if the black hole was a body with a temperature of (κ/2π) (ħ/2k) ≈ 10−6 (M/M)K where κ is the surface gravity of the body.