Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
May, 2009
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Abstract: (arXiv)
We investigate the dynamical behavior of a scalar degree of freedom of the gravitational fields in Ho\v{r}ava-Lifshitz gravity under cosmological background without any matter sector. Because the anisotropic scaling of time and space, this model does not have the complete diffeomorphism invariance of General Relativity. So, we firstly study the gauge transformation under the 'foliation-preserving' diffeomorphism and build corresponding gauge invariant variables, and then, derive a rigorous equation of motion for scalar perturbations under cosmological background without any matter sector. \emph{And we find that there exists a gauge invariant dynamical scalar mode which evolves dynamically without any matter sources.} This is a big difference between Ho\v{r}ava-Lifshitz gravity and General Relativity.- 04.60.-m
- 98.80.Qc
- 98.80.Cq
- 98.80.Bp
- diffeomorphism: invariance
- gravitation: Horava-Lifshitz
- background
- transformation: gauge
- perturbation
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