U(1) symmetry and elimination of spin-0 gravitons in Horava-Lifshitz gravity without the projectability condition

Zhu, Tao; Wu, Qiang; Wang, Anzhong; Shu, Fu-Wen

doi:10.1103/physrevd.84.101502

Cited by 70 publications

(67 citation statements)

References 49 publications

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“…At linear perturbations around the Minkowski background it is known that the nonprojectable U (1) extension has a scalar graviton for a generic choice of coupling constants [16]. On the other hand, if one of the parameters in the IR action (which is denoted as η 2 in the present paper) is set to zero, then linear perturbations in the theory do not contain the scalar graviton [14].…”

Section: Introductionmentioning

confidence: 92%

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Hamiltonian analysis of nonprojectable Hořava-Lifshitz gravity withU(1)symmetry

et al. 2015

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We study the nature of constraints and count the number of degrees of freedom in the nonprojectable version of the U (1) extension of Hořava-Lifshitz gravity, using the standard method of Hamiltonian analysis in the classical field theory. This makes it possible for us to investigate the condition under which the scalar graviton is absent at a fully nonlinear level. We show that the scalar graviton does not exist at the classical level if and only if two specific coupling constants are exactly zero. The operators corresponding to these two coupling constants are marginal for any values of the dynamical critical exponent of the Lifshitz scaling and thus should be generated by quantum corrections even if they are eliminated from the bare action. We thus conclude that the theory in general contains the scalar graviton.

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Section: Introductionmentioning

confidence: 92%

“…While the original theory with the U (1) symmetry is projectable, it is possible to extend it to a nonprojectable theory [14,15]. At linear perturbations around the Minkowski background it is known that the nonprojectable U (1) extension has a scalar graviton for a generic choice of coupling constants [16].…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian analysis of nonprojectable Hořava-Lifshitz gravity withU(1)symmetry

et al. 2015

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“…]. These works were further generalized to the case corresponding to absence of the projectability condition [222]. In both cases (with and without the projectability condition), the spin-0 gravitons are eliminated (due to the U (1) symmetry) and all the problems related to them are then resolved.…”

Section: Hořava-lifshitz Gravitymentioning

confidence: 99%

Power Law and Logarithmic Ricci Dark Energy Models in Hořava-Lifshitz Cosmology

Pasqua

Chattopadhyay²,

Khurshudyan

et al. 2014

Int J Theor Phys

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In this work, we studied the Power Law and the Logarithmic Entropy Corrected versions of the Ricci Dark Energy (RDE) model in a spatially non-flat universe and in the framework of Hořava-Lifshitz cosmology. For the two cases containing non-interacting and interacting RDE and Dark Matter (DM), we obtained the exact differential equation that determines the evolutionary form of the RDE energy density parameter. Moreover, we obtained the expressions of the deceleration parameter q and, using a parametrization of the equation of state (EoS) parameter ω D as ω D (z) = ω 0 + ω 1 z, we derived the expressions of both ω 0 and ω 1 . We interestingly found that the expression of ω 0 is the same for both non-interacting and interacting case. The expression of ω 1 for the interacting case has strong dependence from the interacting parameter b 2 . The parameters derived in this work are done in small redshift approximation and for low redshift expansion of the EoS parameter. * Electronic address: toto.pasqua@gmail.com; Electronic address: surajcha@iucaa.ernet.in; Electronic ad-2

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“…Relative to HLG without the projectability conditions, imposing the detailed balance conditions significantly reduces the number of independent coupling constants [7]. Furthermore, when implementing HLG with and without the projectability conditions in a local U(1) symmetry to the cosmology, it was found that the Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe becomes flat [8,12].…”

Section: Introductionmentioning

confidence: 99%

“…In HLG without the projectability conditions [7,8] and with the projectability conditions [9,10], the spin-0 gravitons could be eliminated though implementing a local U(1) symmetry [11], where various problems concerning instability, strong coupling and different speeds in the gravitational sector are conjectured to be solved [7]. Relative to HLG without the projectability conditions, imposing the detailed balance conditions significantly reduces the number of independent coupling constants [7].…”

Section: Introductionmentioning

confidence: 99%

Minimal-supersymmetric extended inflation field in Horava–Lifshitz gravity

Tawfik¹,

Diab²,

Dahab

2017

Int. J. Mod. Phys. D

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We study the Friedmann inflation in general covariant Horava-Lifshitz (HL) gravity without the projectability conditions and with detailed and non-detailed balance conditions. Accordingly, we derive modifications in the Friedmann equations due to a single-scalar field potential describing minimalsupersymmetrically extended inflation. By implementing two time-independent equations of state (EoS) characterizing the cosmic background geometry filled up with dark energy, the dependence of the tensorial and scalar density fluctuations and their ratios on the inflation field are determined.The latter refer to the time evolution of the inflationary field relative to the Hubble parameter.Furthermore, the ratios of tensorial-to-spectral density fluctuations are calculated in dependence on the spectral index. For cold dark energy EoS ω = −1/3, we find that the tensorial-to-spectral density fluctuations are not depending on the different theories of gravity and the results are very small relative to the recent BICEP2/Keck Array-Planck observations, 10 −9 r 10 −3 . We have also calculated the tensorial and scalar perturbations of the primordial spectra.

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U(1) symmetry and elimination of spin-0 gravitons in Horava-Lifshitz gravity without the projectability condition

Cited by 70 publications

References 49 publications

Hamiltonian analysis of nonprojectable Hořava-Lifshitz gravity withU(1)symmetry

Hamiltonian analysis of nonprojectable Hořava-Lifshitz gravity withU(1)symmetry

Power Law and Logarithmic Ricci Dark Energy Models in Hořava-Lifshitz Cosmology

Minimal-supersymmetric extended inflation field in Horava–Lifshitz gravity

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