Circular geodesics of naked singularities in the Kehagias-Sfetsos metric of Hořava's gravity

Abstract

We discuss photon and test-particle orbits in the Kehagias-Sfetsos (KS) metric. For any value of the Hořava parameter $\omega$, there are values of the gravitational mass $M$ for which the metric describes a naked singularity, and this is always accompanied by a vacuum "antigravity sphere" on whose surface a test particle can remain at rest (in a zero angular momentum geodesic), and inside which no circular geodesics exist. The observational appearance of an accreting KS naked singularity in a binary system would be that of a quasi-static spherical fluid shell surrounded by an accretion disk, whose properties depend on the value of $M$, but are always very different from accretion disks familiar from the Kerr-metric solutions. The properties of the corresponding circular orbits are qualitatively similar to those of the Reissner-Nordström naked singularities. When event horizons are present, the orbits outside the Kehagias-Sfetsos black hole are qualitatively similar to those of the Schwarzschild metric.

8 pages, 9 figures

References in corpus (12)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
• Circular motion of neutral test particles in Reissner-Nordström spacetime
• Lifshitz Gravity for Lifshitz Holography
• Can accretion disk properties observationally distinguish black holes from naked singularities?
• Profiles of emission lines generated by rings orbiting braneworld Kerr black holes
• Particle Motion around Black Hole in Horava-Lifshitz Gravity
• Thin accretion disk signatures of slowly rotating black holes in Hořava gravity
• Solar system constraints on asymptotically flat IR modified Horava gravity through light deflection
• QPOs from Random X-ray Bursts around Rotating Black Holes
• Weak and strong field approximations and circular orbits of Kehagias-Sfetsos space-time

Cited by in corpus (37)

• Circular geodesics of Bardeen and Ayon-Beato-Garcia regular black-hole and no-horizon spacetimes
• Quasinormal modes of test fields around regular black holes
• Optical effects related to Keplerian discs orbiting Kehagias-Sfetsos naked singularities
• Geodesics and periodic orbits in Kehagias-Sfetsos black holes in deformed Hourava-Lifshitz gravity
• Equatorial timelike circular orbits around generic ultracompact objects
• The higher dimensional Myers-Perry black hole with single rotation always obeys the Cosmic Censorship Conjecture
• Thin accretion discs around spherically symmetric configurations with nonlinear scalar fields
• Six-dimensional Myers-Perry rotating black hole cannot be overspun
• Distinguishing Brans-Dicke-Kerr type naked singularities and black holes with their thin disk electromagnetic radiation properties
• Shadows and photon rings of a spherically accreting Kehagias-Sfetsos black hole
• On overspinning of black holes in higher dimensions
• Profiled spectral lines generated by Keplerian discs orbiting in the Bardeen and Ayon-Beato-Garcia spacetimes
• Bound orbits near scalar field naked singularities
• Perfect fluid tori orbiting Kehagias-Sfetsos naked singularities
• Profiled spectral lines of Keplerian rings orbiting in the regular Bardeen black hole spacetimes
• Testing the weak cosmic censorship conjecture for a Reissner-Nordström-de Sitter black hole surrounded by perfect fluid dark matter
• Gravitational lensing around Kehagias-Sfetsos compact objects surrounded by plasma
• Spherically symmetric configurations of General Relativity in presence of scalar field: separation of test body circular orbits
• Silhouette and spectral line profiles in the special modification of the Kerr black hole geometry generated by quintessential fields
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments
• Periodic orbits of neutral test particles in Reissner-Nordström naked singularities
• Vertical stability of circular orbits in relativistic razor-thin disks
• Quasi-local studies of the particle surfaces and their stability in general spacetimes
• Hořava's quantum gravity illustrated by embedding diagrams of the Kehagias-Sfetsos spacetimes
• Curvature dependence of relativistic epicyclic frequencies in static, axially symmetric spacetimes
• Conservative limits on the electric charge of Sgr A* in the Reissner-Nordstrom metric
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Topological geons with self-gravitating phantom scalar field
• Quantum Probe of Hořava-Lifshitz Gravity
• Self-gravitating razor-thin disks around black holes via multi-hole seeds
• Generalized Newtonian description of particle motion in spherically symmetric spacetimes
• Strong gravitational lensing around Kehagias-Sfetsos compact objects surrounded by plasma
• Stability aspects of relativistic thin magnetized disks
• Bound orbits near black holes with scalar hair
• Chaotic dynamics of pulsating spheres orbiting black holes
• Levitating atmospheres around naked singularities
• Particle motion around luminous neutron stars: effects of deviation from Schwarzschild spacetime