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

TL;DR

This paper uses embedding diagrams to explore the geometrical properties of Kehagias-Sfetsos spacetimes in Hořava gravity, focusing on transitions between naked singularities and black holes.

Contribution

It provides a detailed analysis of the geometrical features of KS spacetimes using embedding diagrams, highlighting the transition between naked singularities and black holes.

Findings

Identification of geometrical differences in KS spacetimes

Analysis of transition sequences between naked singularities and black holes

Insights into the structure of Hořava gravity solutions

Abstract

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