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

Shu, Fu-Wen; Lin, Kai; Wang, Anzhong; Wu, Qiang

doi:10.1007/jhep04(2014)056

Cited by 33 publications

(28 citation statements)

References 91 publications

(190 reference statements)

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“…Recently, we studied the HL gravity in (2+1) dimensions in detail [8], and found further evidence to support the above speculations. In particular, we found all the static (diagonal) solutions of the HL gravity in (2+1) dimensions, and showed that they give rise to very arXiv:1404.3413v4 [hep-th] 4 Feb 2015 rich space-time structures: the corresponding spacetimes can represent the generalized Banados, Teitelboim and Zanelli (BTZ) black holes [9], the Lifshitz space-times, or Lifshitz solitons [10], in which the spacetimes are free of any kind of space-time singularities, depending on the choices of the free parameters of the solutions.…”

Section: Introductionsupporting

confidence: 55%

“…(2.20) and (2.21). Note that in (2+1)-dimensions the range of z takes its values from the range z ∈ (−∞, ∞), as shown explicitly in [8]. A up bound of z in high-dimensional spacetimes was also found in some numerical solutions in [1,10,12].…”

Section: Discussionmentioning

confidence: 57%

“…In this paper, we have generalized our previous studies of Lifshitz-type spacetimes in the HL gravity from (2+1)-dimensions [8] to (d + 2)-dimensions with d ≥ 2, and found explicitly all the static diagonal vacuum solutions of the HL gravity without the projectability condition in the IR limit.…”

Section: Discussionmentioning

confidence: 59%

“…Then, from the stability conditions (2.21) we find that 8) where the equality holds only when β = 0, which is possible when λ = 1, as can be seen from Eq. (2.17).…”

Section: Static Vacuum Solutionsmentioning

confidence: 87%

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High-dimensional Lifshitz-type spacetimes, universal horizons, and black holes in Hořava-Lifshitz gravity

Lin¹,

Shu²,

Wang³

et al. 2015

Phys. Rev. D

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In this paper, we present all [(d + 1) + 1]-dimensional static diagonal vacuum solutions of the non-projectable Hořava-Lifshitz gravity in the IR limit, and show that they give rise to very rich Lifshitz-type structures, depending on the choice of the free parameters of the solutions. These include the Lifshitz spacetimes with or without hyperscaling violation, Lifshitz solitons, and black holes. Remarkably, even the theory breaks explicitly the Lorentz symmetry and allows generically instantaneous propagations, universal horizons still exist, which serve as one-way membranes for signals with any large velocities. In particular, particles even with infinitely large velocities would just move around on these boundaries and cannot escape to infinity. Another remarkable feature appearing in the Lifshitz-type spacetimes is that the dynamical exponent z can take its values only in the ranges 1 ≤ z < 2 for d ≥ 3 and 1 ≤ z < ∞ for d = 2, due to the stability and ghost-free conditions of the theory.

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Section: Introductionsupporting

confidence: 55%

Section: Discussionmentioning

confidence: 57%

Section: Discussionmentioning

confidence: 59%

“…Then, from the stability conditions (2.21) we find that 8) where the equality holds only when β = 0, which is possible when λ = 1, as can be seen from Eq. (2.17).…”

Section: Static Vacuum Solutionsmentioning

confidence: 87%

See 2 more Smart Citations

High-dimensional Lifshitz-type spacetimes, universal horizons, and black holes in Hořava-Lifshitz gravity

Lin¹,

Shu²,

Wang³

et al. 2015

Phys. Rev. D

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“…Indeed, recently it was showed that the Lifshitz spacetime (1.4) is a vacuum solution of the HL gravity in (2+1) dimensions, and that the full structure of the z = 2 anisotropic Weyl anomaly can be reproduced in dual field theories [12], while its minimal relativistic gravity counterpart yields only one of two independent central charges in the anomaly. This speculation has been further confirmed by the existence of other types of the Lifshitz spacetimes, including Lifshitz solitons [13,14].…”

mentioning

confidence: 81%

Effects of high-order operators in nonrelativistic Lifshitz holography

Wang¹,

Yang²,

Tian³

et al. 2015

Phys. Rev. D

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In this paper, we study the effects of high-order operators on the non-relativistic Lifshitz holography in the framework of the Hořava-Lifshitz (HL) theory of gravity, which naturally contains high-order operators in order for the theory to be power-counting renormalizble, and provides an ideal place for such studies. In particular, we show that the Lifshitz space-time is still a solution of the full theory of the HL gravity. The effects of the high-oder operators on the space-time itself is simply to shift the Lifshitz dynamical exponent. However, while in the infrared the asymptotic behavior of a (probe) scalar field near the boundary is similar to that studied in the literature, it gets dramatically modified in the UV limit, because of the presence of the high-order operators in this regime. Then, according to the gauge/gravity duality, this in turn affects the two-point correlation functions.

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Horava-Lifshitz black hole hydrodynamics

Eling

2014

J. High Energ. Phys.

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Abstract:We consider the holographic hydrodynamics of black holes in generally covariant gravity theories with a preferred time foliation. Gravitational perturbations in these theories have spin two and spin zero helicity modes with generically different speeds. The black hole solutions possess a spacelike causal boundary called the universal horizon. We relate the flux of the spin zero perturbation across the universal horizon to the new dissipative transport in Lifshitz field theory hydrodynamics found in arXiv:1304.7481. We construct in detail the hydrodynamics of one such black hole solution, and calculate the ratio of the shear viscosity to the entropy density.

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

Cited by 33 publications

References 91 publications

High-dimensional Lifshitz-type spacetimes, universal horizons, and black holes in Hořava-Lifshitz gravity

High-dimensional Lifshitz-type spacetimes, universal horizons, and black holes in Hořava-Lifshitz gravity

Effects of high-order operators in nonrelativistic Lifshitz holography

Horava-Lifshitz black hole hydrodynamics

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