Strong gravitational lensing by a strongly naked null singularity

Abstract

We study strong gravitational lensing in a static, spherically symmetric, naked singularity spacetime, without a photon sphere. The nature of the singularity is found to be lightlike. We discuss the characteristic lensing features of this naked singularity in the strong deflection limit. In spite of the absence of a photon sphere in this spacetime, the bending angle of light diverges, as it approaches the singularity. However, unlike black holes, it is found that the nature of this divergence is nonlogarithmic, and we derive an analytic formula for the same. Moreover, the relativistic rings produced due to strong lensing by the singularity are found to be well separated from each other, making them easy to resolve and possibly detect. These features are expected to be important in the study of strong lensing by ultracompact objects, especially ones without event horizons.

18 pages, 6 figures, minor corrections, matches the published version at PRD

References in corpus (24)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Light ring stability in ultra-compact objects
• Gravitational Lensing by Wormholes
• Gravitational Lensing by Rotating Wormholes
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Deflection angle of light in an Ellis wormhole geometry
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Gravitational Lensing by Rotating Naked Singularities
• Light curves of light rays passing through a wormhole
• Lensing and dynamics of ultra-compact bosonic stars
• A novel gravitational lensing feature by wormholes
• Shadow of a Naked Singularity without Photon Sphere
• Spherical gravitational collapse in N-dimensions
• Analytical approach to strong gravitational lensing from ultracompact objects
• Can strong gravitational lensing distinguish naked singularities from black holes?
• Self-similar scalar field collapse
• Geometrodynamics: The Nonlinear Dynamics of Curved Spacetime

Cited by in corpus (5)

• QED Effect on Black Hole Shadow
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Shadows and negative precession in non-Kerr spacetime
• Energy extraction from Janis-Newman-Winicour naked singularity
• Affine perturbation series of the deflection angle of a ray near the photon sphere of a Reissner-Nordström black hole