How Does Naked Singularity Look?

Abstract

There are non-radial null geodesics emanating from the shell focusing singularity formed at the symmetric center in a spherically symmetric dust collapse. In this article, assuming the self-similarity in the region filled with the dust fluid, we study these singular null geodesics in detail. We see the time evolution of the angular diameter of the central naked singularity and show that it might be bounded above by the value corresponding to the circular null geodesic in the Schwarzschild spacetime. We also investigate the angular frequency of a physical field which propagates along the singular null geodesic and find that it depends on the impact parameter. Further, we comment on the non-uniformity of the topology of the central naked singularity.

arXiv comment36 pages, 9 figures

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Cited by in corpus (14)

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• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• Shadow of a Naked Singularity without Photon Sphere
• Shadow of a naked singularity
• Can we observationally test the weak cosmic censorship conjecture?
• Observational Testability of Kerr bound in X-ray Spectrum of Black-Hole Candidates
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Global visibility of naked singularities
• Gravitational blueshift from a collapsing object
• Relativistic Gravitational Collapse of a Cylindrical Shell of Dust
• Gravitational Lensing from a Spacetime Perspective
• A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
• Cauchy horizon stability in a collapsing spherical dust cloud. II: Energy bounds for test fields and odd-parity gravitational perturbations