### Abstract

The Kehagias-Sfetsos asymptotically flat black hole and naked singularity solutions of the Hořava-Lifshitz gravity are investigated both in the weak-field and strong-field regimes. In the weak-field limit the gravitational field generated by the Kehagias-Sfetsos spherically symmetric solution is weaker then in the case of the Schwarzschild black hole of general relativity. In the strong-field regime naked singularities with ω_{0} ≪ 1 display an unusual distance dependence: gravity becomes weaker when approaching the singularity. The stability of circular orbits is also analyzed. While in the black hole case the square of the angular momentum should be larger than a certain finite, non-zero minimal value, in the naked singularity case there are stable circular orbits for any non-zero value of the angular momentum. In this regime we prove the existence of an infimum of the allowed radii of circular orbits (corresponding to vanishing angular momentum).

Original language | English |
---|---|

Pages (from-to) | 1039-1042 |

Number of pages | 4 |

Journal | Astronomische Nachrichten |

Volume | 334 |

Issue number | 9 |

DOIs | |

Publication status | Published - Nov 2013 |

### Fingerprint

### Keywords

- Accretion, accretion disks
- Black hole physics
- Gravitation

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

*Astronomische Nachrichten*,

*334*(9), 1039-1042. https://doi.org/10.1002/asna.201211990

**Weak and strong field approximations and circular orbits of the Kehagias-Sfetsos space-time.** / Dwornik, M.; Horváth, Z. S.; Gergely, L.

Research output: Contribution to journal › Article

*Astronomische Nachrichten*, vol. 334, no. 9, pp. 1039-1042. https://doi.org/10.1002/asna.201211990

}

TY - JOUR

T1 - Weak and strong field approximations and circular orbits of the Kehagias-Sfetsos space-time

AU - Dwornik, M.

AU - Horváth, Z. S.

AU - Gergely, L.

PY - 2013/11

Y1 - 2013/11

N2 - The Kehagias-Sfetsos asymptotically flat black hole and naked singularity solutions of the Hořava-Lifshitz gravity are investigated both in the weak-field and strong-field regimes. In the weak-field limit the gravitational field generated by the Kehagias-Sfetsos spherically symmetric solution is weaker then in the case of the Schwarzschild black hole of general relativity. In the strong-field regime naked singularities with ω0 ≪ 1 display an unusual distance dependence: gravity becomes weaker when approaching the singularity. The stability of circular orbits is also analyzed. While in the black hole case the square of the angular momentum should be larger than a certain finite, non-zero minimal value, in the naked singularity case there are stable circular orbits for any non-zero value of the angular momentum. In this regime we prove the existence of an infimum of the allowed radii of circular orbits (corresponding to vanishing angular momentum).

AB - The Kehagias-Sfetsos asymptotically flat black hole and naked singularity solutions of the Hořava-Lifshitz gravity are investigated both in the weak-field and strong-field regimes. In the weak-field limit the gravitational field generated by the Kehagias-Sfetsos spherically symmetric solution is weaker then in the case of the Schwarzschild black hole of general relativity. In the strong-field regime naked singularities with ω0 ≪ 1 display an unusual distance dependence: gravity becomes weaker when approaching the singularity. The stability of circular orbits is also analyzed. While in the black hole case the square of the angular momentum should be larger than a certain finite, non-zero minimal value, in the naked singularity case there are stable circular orbits for any non-zero value of the angular momentum. In this regime we prove the existence of an infimum of the allowed radii of circular orbits (corresponding to vanishing angular momentum).

KW - Accretion, accretion disks

KW - Black hole physics

KW - Gravitation

UR - http://www.scopus.com/inward/record.url?scp=84887207045&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887207045&partnerID=8YFLogxK

U2 - 10.1002/asna.201211990

DO - 10.1002/asna.201211990

M3 - Article

VL - 334

SP - 1039

EP - 1042

JO - Astronomische Nachrichten

JF - Astronomische Nachrichten

SN - 0004-6337

IS - 9

ER -