Hořava gravity and gravitons at a conformal point

Park, Mu-In

doi:10.1007/s10714-011-1217-3

Cited by 17 publications

(25 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…5 For the case of λ = 1/3, where a separate analysis is needed, we find that there is no corresponding timedependent solution in UV [17]. This is the only result which is qualitatively different from the case of λ = 1/3 and it would be probably due to the additional (anisotropic) Weyl symmetry in UV [4,8].…”

Section: B Caseβ =mentioning

confidence: 84%

Birkhoff’s theorem in Hořava gravity

Devecioğlu

Park

2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We study Birkhoff's theorem, which states the absence of time-dependent, spherically symmetric vacuum solutions in four-dimensional Hořava gravity, which has been proposed as a renormalizable quantum gravity without the ghost problem. We prove that the theorem is still valid for the usual type of solutions which admit the general relativity limit in the low energy (IR) region. However, for the unusual type of solutions, it can be violated in high-energy (UV) region, due to the non-linear effects. This implies that the scalar graviton can emerge as the results of non-linear UV effects but is decoupled in IR regime. An important implication of the non-linear, UV scalar graviton in Big Bang cosmology is also discussed.

show abstract

Section: B Caseβ =mentioning

confidence: 84%

Birkhoff’s theorem in Hořava gravity

Devecioğlu

Park

2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…Therefore, the preservation of π leads to the same condition imposed by the preservation of P N . 4 For notational simplicity here we have defined U and W ij as densities, unlike Ref. [7].…”

Section: )mentioning

confidence: 99%

“…To have a complete conformal theory the potential, of course, must be chosen to be conformal. The anisotropic conformal Hořava theory, defined by these two conditions: λ = 1/3 and the setting of a conformal potential, has been broadly studied in several contexts, see for example [3,4,5]. In particular, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the anisotropic conformal Hořava theory versus its kinetic-conformal formulation

Bellorín

Droguett

2018

Phys. Rev. D

View full text Add to dashboard Cite

We contrast the dynamics of the Hořava theory with anisotropic Weyl symmetry with the case when this symmetry is explicitly broken, which is called the kinetic-conformal Hořava theory. To do so we perform the canonical formulation of the anisotropic conformal theory at the classical level with a general conformal potential. Both theories have the generator of the anisotropic Weyl transformations as a constraint but it changes from first to second-class when the Weyl symmetry is broken. The FDiff-covariant vector a i = ∂ i ln N plays the role of gauge connection for the anisotropic Weyl transformations. A Lagrange multiplier plays also the role of gauge connection, being the time component. The anisotropic conformal theory propagates the same number of degrees of freedom of the kinetic-conformal theory, which in turn are the same of General Relativity. This is due to exchange of a second-class constraint in the kinetic-conformal case by a gauge symmetry in the anisotropic conformal case. An exception occurs if the conformal potential does not depend on the lapse function N , as is the case of the so called (Cotton) 2 potential, in which case one of the physical modes becomes odd. We develop in detail two explicit anisotropic conformal models. One of them depends on N whereas the other one is the (Cotton) 2 model. We also study conformally flat solutions in the anisotropic conformal and the kineticconformal theories, defining as conformally flat the spatial metric, but leaving for N a form different to the one dictated by the anisotropic Weyl transformations. We find that in both theories these configurations have vanishing canonical momentum and they are critical points of the potential. In the kinetic-conformal theory we find explicitly an exact, nontrivial, conformally flat solution.

show abstract

“…The decoupling of this extra mode at low energies faces with the so-called strong coupling problem [10,11,12,13]. However, at the conformal point of the kinetic term, λ = 1/3, the theory propagates exactly the same modes of GR as a consequence of additional second-class constraints that arise at this point [6] (see also [14]). This is a outstanding feature, since there is no need of any decoupling mechanism and there are no discontinuity issues at low energies.…”

Section: Introductionmentioning

confidence: 99%

Solutions with throats in Hořava gravity with cosmological constant

Bellorín

Restuccia

Sotomayor

2016

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

By combining analytical and numerical methods we find that the solutions of the complete Hořava theory with negative cosmological constant that satisfy the conditions of staticity, spherical symmetry and vanishing of the shift function are two kinds of geometry: (i) a wormhole-like solution with two sides joined by a throat and (ii) a single side with a naked singularity at the origin. We study the second-order effective action. We consider the case when the coupling constant of the (∂ ln N ) 2 term, which is the unique deviation from general relativity in the effective action, is small. At one side the wormhole acquires a kind of deformed AdS asymptotia and at the other side there is an asymptotic essential singularity. The deformation of AdS essentially means that the lapse function N diverges asymptotically a bit faster than AdS. This can also be interpreted as an anisotropic Lifshitz scaling that the solutions acquire asymptotically.

show abstract

Hořava gravity and gravitons at a conformal point

Cited by 17 publications

References 52 publications

Birkhoff’s theorem in Hořava gravity

Birkhoff’s theorem in Hořava gravity

Dynamics of the anisotropic conformal Hořava theory versus its kinetic-conformal formulation

Solutions with throats in Hořava gravity with cosmological constant

Contact Info

Product

Resources

About