Uninvited guest in mixed derivative Hořava gravity

Coates, Andrew; Colombo, Mattia; Gümrükçüoğlu, A. Emir; Sotiriou, Thomas P.

doi:10.1103/physrevd.94.084014

Cited by 11 publications

(17 citation statements)

References 71 publications

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“…In addition, Hořava gravity with mix spatial and time derivatives has been also studied recently in order to avoid unacceptable violations of Lorentz invariance in the matter sector [191,192]. Unfortunately, it was found that the theory contains four propagating degrees of freedom, as opposed to three in the standard Hořava gravity, and the new degree of freedom is another scalar graviton, which is unstable at low energies [193].…”

Section: With Non-projectability and U(1) Symmetrymentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

185

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: With Non-projectability and U(1) Symmetrymentioning

confidence: 99%

Hořava gravity at a Lifshitz point: A progress report

Wang

2017

Int. J. Mod. Phys. D

185

194

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“…Moreover, such a mechanism seems to be necessary to keep Lorentz violation at bay already for lower mass dimension operators in the standard model [43]. It has been suggested that the weak coupling between gravity and matter might suffice to suppress the percolation [44] but it is not clear how well this works in practice for Hořava gravity [45][46][47].…”

Section: Theoretical Considerations and Indirect Constraintsmentioning

confidence: 99%

Hořava gravity after GW170817

2018

Self Cite

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“…Generically, the operators of the form (2.22) may compromise power counting renormalizability of the Hořava-Lifshitz gravity [64][65][66]. Therefore, they have been omitted in the original action (2.1).…”

Section: Jhep06(2016)020mentioning

confidence: 99%

Living with ghosts in Hořava-Lifshitz gravity

Ramazanov

Arroja

Celoria

et al. 2016

J. High Energ. Phys.

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Abstract:We consider the branch of the projectable Hořava-Lifshitz model which exhibits ghost instabilities in the low energy limit. It turns out that, due to the Lorentz violating structure of the model and to the presence of a finite strong coupling scale, the vacuum decay rate into photons is tiny in a wide range of phenomenologically acceptable parameters. The strong coupling scale, understood as a cutoff on ghosts' spatial momenta, can be raised up to Λ ∼ 10 TeV. At lower momenta, the projectable Hořava-Lifshitz gravity is equivalent to General Relativity supplemented by a fluid with a small positive sound speed squared (10 −42 ) c 2 s 10 −20 , that could be a promising candidate for the Dark Matter. Despite these advantages, the unavoidable presence of the strong coupling obscures the implementation of the original Hořava's proposal on quantum gravity. Apart from the Hořava-Lifshitz model, conclusions of the present work hold also for the mimetic matter scenario, where the analogue of the projectability condition is achieved by a non-invertible conformal transformation of the metric.

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Uninvited guest in mixed derivative Hořava gravity

Cited by 11 publications

References 71 publications

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity at a Lifshitz point: A progress report

Hořava gravity after GW170817

Living with ghosts in Hořava-Lifshitz gravity

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