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A. M. da Silva, “An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling,” Class. Quant. Grav. 28
Original
2011
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T. P. Sotiriou, “Horava-Lifshitz gravity: a status report,” J. Phys. Conf. Ser. 283
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E. Barausse, T. Jacobson and T. P. Sotiriou, “Black holes in Einstein-aether and Horava-Lifshitz gravity,” Phys. Rev. D 83
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Then

M. Crisostomi, M. Hull, K. Koyama and G. Tasinato, JCAP 1603
Original
2016
Later among the works it cites.
J. Ben Achour, D. Langlois and K. Noui, “Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations,” Phys. Rev. D 93
Original
2016
Later among the works it cites.
D. Langlois and K. Noui, “Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability,” JCAP 1602
Original
2016
Later among the works it cites.
M. Crisostomi, K. Koyama and G. Tasinato, “Extended Scalar-Tensor Theories of Gravity,” JCAP 1604
Original
2016
Later among the works it cites.
J. Ben Achour, M. Crisostomi, K. Koyama, D. Langlois, K. Noui and G. Tasinato, “Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order,” JHEP 1612

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2018

A new scalar-tensor realization of Ho\v{r}ava-Lifshitz gravity

Chagoya, Javier, Tasinato, Gianmassimo

Understand

We discuss a new covariant scalar-tensor system aimed to realise Ho\v{r}ava proposal for a power-counting renormalizable theory of gravity, with the special feature of not propagating scalar degrees of freedom in an appropriate gauge.

The theory is characterized by a new symmetry acting on the metric, that can protect the particular form of its interactions.
The set-up spontaneously breaks Lorentz symmetry by means of a time-like scalar field profile.
By selecting a unitary gauge for the scalar, we show that this theory describes the dynamics of a spin two degree of freedom, whose equations of motion contain two time derivatives and up to six spatial derivatives.