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

Abstract

The Kehagias-Sfetsos asymptotically flat black hole and naked singularity solutions of 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 ${\omega }_0\ll 1$ 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).

References in corpus (7)

• Solutions to Horava Gravity
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Towards constraining of the Horava-Lifshitz gravities
• Testing Hořava-Lifshitz gravity using thin accretion disk properties
• Particle Motion around Black Hole in Horava-Lifshitz Gravity
• Thin accretion disk signatures of slowly rotating black holes in Hořava gravity
• Slowly rotating black holes in the Horava-Lifshitz gravity

Cited by in corpus (4)

• Circular geodesics of naked singularities in the Kehagias-Sfetsos metric of Hořava's gravity
• Optical effects related to Keplerian discs orbiting Kehagias-Sfetsos naked singularities
• Perfect fluid tori orbiting Kehagias-Sfetsos naked singularities
• On Effective Spacetime Dimension in the Hořava-Lifshitz Gravity