Dispersion relation and surface gravity of universal horizons

Ding, Chikun; Liu, Changqing

doi:10.1007/s11433-017-9012-8

Cited by 10 publications

(12 citation statements)

References 64 publications

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“…But, for charged black holes, such a generalization is still absent [242]. Recent investigations [245][246][247] with a more general dispersion relation showed that both of the temperature and surface gravity obtained by considering peering behavior of rays near the universal horizons depend on the parameter z, which characterizes the leading order k 2z of the dispersion relation [cf. Eqs.…”

Section: Discussionmentioning

confidence: 99%

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Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

178

194

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Hořava gravity at a Lifshitz point is a theory intended to quantize gravity by using techniques of traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been plaguing quantization of general relativity since the middle of 1970's, Hořava chose to break the Lorentz invariance by a Lifshitz-type of anisotropic scaling between space and time at the ultrahigh energy, while recovering (approximately) the invariance at low energies. With the stringent observational constraints and self-consistency, it turns out that this is not an easy task, and various modifications have been proposed, since the first incarnation of the theory in 2009. In this review, we shall provide a progress report on the recent developments of Hořava gravity. In particular, we first present four most-studied versions of Hořava gravity, by focusing first on their self-consistency and then their consistency with experiments, including the solar system tests and cosmological observations. Then, we provide a general review on the recent developments of the theory in three different but also related areas: (i) universal horizons, black holes and their thermodynamics; (ii) non-relativistic gauge/gravity duality; and (iii) quantization of the theory. The studies in these areas can be generalized to other gravitational theories with broken Lorentz invariance. CONTENTS

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Section: Discussionmentioning

confidence: 99%

“…Recently, more careful studies of ray trajectories showed that the surface gravity for particles with a nonrelativistic dispersion relation (3.1) is given by [246],…”

Section: )mentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

178

194

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“…When z = 2 it reduces to the case considered in [25,26]. Recently, more careful studies of ray trajectories showed that the surface gravity for particles with a general nonrelativistic dispersion relation is given by [30,31],…”

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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“…But, in more general cases, both of them will depend on z, as shown by Eq. (4.43), although the standard relation, T z≥2 U H = κ z≥2 U H /(2π), is still expected to hold [39,40].…”

Section: Discussionmentioning

confidence: 99%

“…Recently, more careful studies of ray trajectories showed that the surface gravity for particles with a nonrelativistic dispersion relation is indeed given by [39],…”

Section: Introductionmentioning

confidence: 99%

Universal horizons and Hawking radiation in nonprojectable 2d Hořava gravity coupled to a nonrelativistic scalar field

Bhattacharjee

Wang

2017

Phys. Rev. D

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In this paper, we study the non-projectable 2d Hořava gravity coupled with a non-relativistic scalar field, where the coupling is in general non-minimal and of the form f (φ)R, where f (φ) is an arbitrary function of the scalar field φ, and R denotes the 2d Ricci scalar. In particular, we first investigate the Hamiltonian structure, and show that there are two-first and two-second class constraints, similar to the pure gravity case, but now the local degree of freedom is one, due to the presence of the scalar field. Then, we present various exact stationary solutions of this coupled system, and find that some of them represent black holes but now with universal horizons as their boundaries. At these horizons, the Hawking radiations are thermal with temperatures proportional to their surface gravities, which normally depend on the non-linear dispersion relations of the particles radiated, similar to the (3+1)-dimensional case. arXiv:1703.08207v3 [gr-qc]

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Dispersion relation and surface gravity of universal horizons

Cited by 10 publications

References 64 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

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

Universal horizons and Hawking radiation in nonprojectable 2d Hořava gravity coupled to a nonrelativistic scalar field

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