Strong coupling in extended Hořava–Lifshitz gravity

Papazoglou, Antonios; Sotiriou, Thomas P.

doi:10.1016/j.physletb.2010.01.054

Cited by 137 publications

(146 citation statements)

References 30 publications

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“…Such a study also helps us to clarify some differences regarding to the strength of strong couplings, obtained recently in [25][26][27]31]. In addition, the treatment in this section can be applied to the HL theory both with and without the projectability condition.…”

Section: Strong Couplingmentioning

confidence: 75%

“…When the background is Minkowski, without loss of generality, we consider the metric perturbations [26],…”

Section: Strong Couplingmentioning

confidence: 99%

“…Despite all of these attractive features, the theory plagues with two serious problems: the instability of the Minkowski background [4,11,[20][21][22], and the strong coupling [23][24][25][26][27]. To solve these problems, various modifications were proposed [28,29].…”

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confidence: 99%

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Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Wang

2011

Phys. Rev. D

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In this paper, we consider two different issues, stability and strong coupling, raised lately in the newly-proposed Horava-Lifshitz (HL) theory of quantum gravity with projectability condition. We find that all the scalar modes are stable in the de Sitter background, due to two different kinds of effects, one from high-order derivatives of the spacetime curvature, and the other from the exponential expansion of the de Sitter space. Combining these effects properly, one can make the instability found in the Minkowski background never appear even for small-scale modes, provided that the IR limit is sufficiently closed to the relativistic fixed point. At the fixed point, all the modes become stabilized. We also show that the instability of Minkowski spacetime can be cured by introducing mass to the spin-0 graviton. The strong coupling problem is investigated following the effective field theory approach, and found that it cannot be cured by the Blas-Pujolas-Sibiryakov mechanism, initially designed for the case without projectability condition, but might be circumvented by the Vainshtein mechanism, due to the non-linear effects. In fact, we construct a class of exact solutions, and show explicitly that it reduces smoothly to the de Sitter spacetime in the relativistic limit.PACS numbers: 98.80.Cq; 98.80.Bp

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Section: Strong Couplingmentioning

confidence: 75%

“…When the background is Minkowski, without loss of generality, we consider the metric perturbations [26],…”

Section: Strong Couplingmentioning

confidence: 99%

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Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Wang

2011

Phys. Rev. D

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“…Now, the condition for weighted powercounting renormalizability is δ 17) where N B is the number of bosons and N F is the number of fermions. A similar expression is obtained for pure gauge theories:…”

Section: Power Countingmentioning

confidence: 99%

“…Unfortunately, Lifshitz type UV-completions of these theories are not necessarily without problems. The proposed UV completion of 5d QED exhibits a fine tuning problem [12], and in the case of Hořava-Lifshitz gravity there has been concern over the consistency of various versions of the theory [13][14][15][16][17][18]. Some of these versions become strongly coupled at a certain scale and there is a breakdown of the perturbative expansion (for recent reviews related to this problem see [19,20]).…”

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confidence: 99%

Weighted power counting and perturbative unitarity

Albrecht

2011

Phys. Rev. D

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Inflation in general covariant Hořava-Lifshitz gravity without projectability

Zhu

Huang

Wang

2013

J. High Energ. Phys.

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In this paper, we study inflation in the general covariant Hořava-Lifshitz gravity without the projectability condition. We write down explicitly the equations of the linear scalar perturbations of the FRW universe for a single scalar field without specifying to any gauge. Applying these equations to a particular gauge, we are able to obtain a master equation of the perturbations, in contrast to all the other versions of the theory without the projectability condition. This is because in the current version of the theory it has the same degree of freedom of general relativity. To calculate the power spectrum and index, we first define the initial conditions as the ones that minimize the energy of the ground state. Then, we obtain the full solutions of the equation of motion, by using the WKB approximations. From these solutions, we calculate the power spectrum and spectrum index of the comoving curvature perturbations and find the corrections due to the high order spatial derivative terms of the theory to those standard results obtained in general relativity. Remarkably, partly of corrections are a direct consequence of the non-projectability condition. It is also shown that the perturbations are still of scale-invariance, and the results obtained in the general covariant Hořava-Lifshitz gravity without the projectability condition are consistent with all current cosmological observations.

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Strong coupling in extended Hořava–Lifshitz gravity

Cited by 137 publications

References 30 publications

Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Weighted power counting and perturbative unitarity

Inflation in general covariant Hořava-Lifshitz gravity without projectability

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