# Scalar graviton in the healthy extension of Horava-Lifshitz theory

@article{Cai2011ScalarGI, title={Scalar graviton in the healthy extension of Horava-Lifshitz theory}, author={Rong-gen Cai and Bing Hu and Hong-bo Zhang}, journal={Physical Review D}, year={2011}, volume={83}, pages={084009} }

In this note we study the linear dynamics of scalar graviton in a de Sitter background in the infrared limit of the healthy extension of Horava-Lifshitz gravity with the dynamical critical exponent z = 3. Both our analytical and numerical results show that the nonzero Fourier modes of scalar graviton oscillate with an exponentially damping amplitude on the subhorizon scale, while on the superhorizon scale, the phases are frozen and they approach to some asymptotic values. In addition, as the… Expand

#### Figures from this paper

#### 11 Citations

Considerations on the graviton excitation modes of Hořava-Lifshitz gravity

- Physics
- 2011

A bstractA new set of projection operators is constructed to suitably handle non-relativistic theories of gravity with anisotropic scaling, including the ones with parity-violating terms. This… Expand

Soft breaking in Hořava Gravitational theory

- Physics
- 2014

We consider anisotropic gravity at the conformal point of the kinetic term of the Hořava Gravity. This value is protected under quantum corrections by the constraints of the theory. The symmetry of… Expand

Inflation in general covariant Hořava-Lifshitz gravity without projectability

- Physics
- 2012

A bstractIn 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… Expand

On Gauge Invariant Cosmological Perturbations in UV-modified Horava Gravity

- Physics
- 2017

We consider gauge invariant cosmological perturbations in UV-modified, z=3 Horava gravity with one scalar matter field, which has been proposed as a renormalizable gravity theory without the ghost… Expand

Stable singularity-free cosmological solutions in nonprojectable Hořava-Lifshitz gravity

- Physics
- Physical Review D
- 2019

We find stable singularity-free cosmological solutions in non-flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) spacetime in the context of Ho\v{r}ava-Lifshitz (HL) theory. Although we encounter… Expand

Consistency and renormalization of the λ = 1/3 soft breaking model of the complete Hořava theory

- Mathematics
- 2014

We discuss the ? = 1/3 soft breaking of the complete Horava theory we have recently introduced. We show the consistency of the theory from the point of view of the algebra of the constraints and of… Expand

Hořava Gravity in the Effective Field Theory formalism: From cosmology to observational constraints

- Physics
- 2016

Abstract We consider Hořava gravity within the framework of the effective field theory (EFT) of dark energy and modified gravity. We work out a complete mapping of the theory into the EFT language… Expand

Hořava gravity at a Lifshitz point: A progress report

- Physics
- 2017

Hořava’s quantum gravity at a Lifshitz point is a theory intended to quantize gravity by using traditional quantum field theories. To avoid Ostrogradsky’s ghosts, a problem that has been facing in… Expand

Nonperturbative analysis of the constraints and the positivity of the energy of the complete Hořava theory

- Physics
- 2012

We perform a nonperturbative analysis to the Hamiltonian constraint of the lowest-order effective action of the complete Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory, which includes a… Expand

Consistency of the Hamiltonian formulation of the lowest-order effective action of the complete Hořava theory

- Physics
- 2011

We perform the Hamiltonian analysis for the lowest-order effective action, up to second order in derivatives, of the complete Horava theory. The model includes the invariant terms that depend on… Expand