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Possible astrophysical consequences of the Ho\v{r}ava quantum gravity theoryhave been recently studied by several authors. They usually employ theKehagias-Sfetsos (KS) spacetime which is a spherically symmetric vacuumsolution of a specific version of Ho\v{r}ava's gravity. The KS metric hasseveral unusual geometrical properties that in the present article we examineby means of the often used technique of embedding diagrams. We pay particularattention to the transition between naked singularity and black-hole states,which is possible along some particular sequences of the KS metrics.

Ho\v{r}ava's quantum gravity illustrated by embedding diagrams of the Kehagias-Sfetsos spacetimes