Asymptotically Lifshitz spacetimes with universal horizons in (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>) dimensions

Basu, Sayandeb; Bhattacharyya, Jishnu; Mattingly, David; Roberson, Matthew

doi:10.1103/physrevd.93.064072

Cited by 16 publications

(31 citation statements)

References 37 publications

(90 reference statements)

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“…Since they were first discovered in [202,215], universal horizons have been studied intensively, and already attracted lots of attention. These include universal horizons in static spacetimes [123,[218][219][220][221][222][223][224][225][226][227][228][229][230][231][232][233][234], and the ones with rotation [217,235,236] 25 . In particular, it was showed that universal horizons exist in the 24 To avoid theČerenkov effects, in the khronometric theory, or more general, in the Einstein-aether theory, c φ is required to be no less than the speed of light c φ ≥ c [203].…”

Section: )mentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

176

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: )mentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

176

194

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“…Recently, [23] studied asymptotic Lifshitz solutions for the three-dimensional case (D = 2). They imposed the following condition of analyticity on the power series solutions around infinity…”

Section: Lifshitz Asymptotic Solutionsmentioning

confidence: 99%

New asymptotically Lifshitz black holes in Hořava gravity

Eling

2016

Phys. Rev. D

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We study asymptotically Lifshitz solutions with critical exponent z = 1 in Hořava gravity in three and four spacetime dimensions. For z = 2 and z = 3/2, we find a novel class of numerical solutions with regular universal horizon, but are characterized by non-analytic behavior near infinity. In the interior, inside the universal horizon, the unit timelike vector field associated with the preferred time foliation exhibits oscillatory behavior, qualitatively similar to that found earlier in asymptotically flat solutions. For z > 2 no solutions of this type appear to exist. We comment on potential applications to holographic Lifshitz dualities. * Electronic address: cteling@gmail.com 1 arXiv:1610.05967v1 [hep-th]

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“…Regarding the applications to holography, static asymptotically Lifshitz UHs in (2+1) dimensions were analyzed in [19]. It was shown that these UHs possess a first law of the form dM ∝ T UH dP UH , in analogy with their static (2+1) dimensional AdS counterparts [see Eq.…”

Section: Discussionmentioning

confidence: 99%

“…We are then led to the condition that u a be normal to the universal horizon. As discussed in [19], this ensures that no additional boundary term is needed in the action when the inner boundary is a UH, and moreover that the contributions to the on-shell Hamiltonian (23) from the UH vanish. Therefore the expression of the Hamiltonian is unaffected by the presence of a UH, and the definition of the mass remains the same.…”

Section: Universal Horizonsmentioning

confidence: 97%

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First law of black holes with a universal horizon

Pacilio

Liberati

2017

Phys. Rev. D

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In Lorentz violating theories of gravitation with a preferred foliation a notion of black hole is still possible, despite the presence of infinitely fast propagating modes. Such event horizons are known as universal horizons. Their discovery poses the question of whether they satisfy mechanical laws, analogous to the ones of Killing horizons in Lorentz symmetric theories, and whether they admit a thermodynamical interpretation. In this paper we study the viability of the first law for several exact universal horizon solutions previously derived in the literature. Our results show that a simple mechanical and thermodynamical interpretation is problematic in these cases, and call for a more systematic study of rotating universal horizons.

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Asymptotically Lifshitz spacetimes with universal horizons in (1+2) dimensions

Cited by 16 publications

References 37 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

New asymptotically Lifshitz black holes in Hořava gravity

First law of black holes with a universal horizon

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