Surface gravities for non-Killing horizons

Cropp, Bethan; Liberati, Stefano; Visser, Matt

doi:10.1088/0264-9381/30/12/125001

Cited by 59 publications

(76 citation statements)

References 68 publications

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“…In general relativity this is an excruciatingly subtle parameter to define [30] whereas for our analogue fluid horizon it is simply expressed [31] as…”

Section: Analogue Black Hole Descriptionmentioning

confidence: 99%

Rotating black holes in a draining bathtub: Superradiant scattering of gravity waves

et al. 2015

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In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the water. Numerical integration of the associated Klein-Gordon equation using accessible experimental parameters shows that gravity waves in an appropriate frequency range are amplified through the mechanism of superradiance. Our numerical results suggest that the observation of this phenomenon in a common fluid mechanical system is within experimental reach. Unlike the case of wave scattering around Kerr black holes, which depends only on one dimensionless background parameter (the ratio a=M between the specific angular momentum and the mass of the black hole), our system depends on two dimensionless background parameters, namely the normalized angular velocity and surface gravity at the effective black hole horizon.

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“…In general relativity this is an excruciatingly subtle parameter to define [30] whereas for our analogue fluid horizon it is simply expressed [31] as…”

Section: Analogue Black Hole Descriptionmentioning

confidence: 99%

Rotating black holes in a draining bathtub: Superradiant scattering of gravity waves

et al. 2015

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“…Universal horizons have already attracted lot of attention, and various interesting results have been obtained [86][87][88][89][90]. For more detail regarding to black holes in the HL gravity, we refer readers to [61][62][63][64][65][66][67][68][69][70][71][85][86][87][88][89][90], and references therein. To simplify the technique issues and be comparable to the studies carried out in [60], in this paper we shall restrict ourselves only to (2+1) dimensional spacetimes, 3 although we find that exact vacuum solutions of the HL gravity in any dimensional spacetimes exist, and have similar space-time structures [91].…”

Section: Jhep04(2014)056mentioning

confidence: 99%

“…After the extension, they may represent Lifshitz black holes . It would be very interesting to study those spacetimes in terms of the universal horizons [85][86][87][88][89][90]. In addition, Penrose's notion of conformal infinity of spacetime was generalized to the case with anisotropic scaling [61], and one would wonder how one can define black holes in terms of anisotropic conformal infinities?…”

Section: Jhep04(2014)056mentioning

confidence: 99%

Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point

Shu

Lin

Wang

et al. 2014

J. High Energ. Phys.

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Abstract:In this paper, we study static vacuum solutions of quantum gravity at a fixed Lifshitz point in (2+1) dimensions, and present all the diagonal solutions in closed forms in the infrared limit. The exact solutions represent spacetimes with very rich structures: they can represent generalized BTZ black holes, Lifshitz space-times or Lifshitz solitons, in which the spacetimes are free of any kind of space-time singularities, depending on the choices of the free parameters of the solutions. We also find several classes of exact static non-diagonal solutions, which represent similar space-time structures as those given in the diagonal case. The relevance of these solutions to the non-relativistic Lifshitz-type gauge/gravity duality is discussed.

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“…The studies of black holes in gravitational theories with broken Lorentz invariance (LI) have attracted lots of attention recently [1], as it was generally believed that black holes in such theories might be only the low-energy phenomena and do not exist at all in the ultraviolet (UV). This is mainly because, once Lorentz symmetry is broken, particles from different species can have different speeds, and in principle the speeds can be arbitrarily large.…”

Section: Introductionmentioning

confidence: 99%

No static black hole hairs in gravitational theories with broken Lorentz invariance

et al. 2017

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In this paper, we revisit the issue of static hairs of black holes in gravitational theories with broken Lorentz invariance in the case that the speed c φ of the khronon field becomes infinitely large, c φ = ∞, for which the sound horizon of the khronon field coincides with the universal horizon, and the boundary conditions at the sound horizon reduce to those given normally at the universal horizons. As a result, less boundary conditions are present in this extreme case in comparison with the case c φ = finite. Then, it would be expected that static hairs might exist. However, we show analytically that even in this case static hairs still cannot exist, based on a decoupling limit analysis. We also consider the cases in which c φ is finite but with c φ 1, and obtain the same conclusion.

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Surface gravities for non-Killing horizons

Cited by 59 publications

References 68 publications

Rotating black holes in a draining bathtub: Superradiant scattering of gravity waves

Rotating black holes in a draining bathtub: Superradiant scattering of gravity waves

Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point

No static black hole hairs in gravitational theories with broken Lorentz invariance

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