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Gravitational lensing by rotating naked singularities in the equatorial plane. (English) Zbl 1183.83076
Todorov, Michail D. (ed.), Applications of mathematics in engineering and economics’33. 33rd international conference, Sozopol, Bulgaria, 8–14 June 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0460-1/hbk). AIP Conference Proceedings 946, 106-118 (2007).
Summary: We model massive compact objects in galactic nuclei as stationary, axially-symmetric naked singularities in the massless Einstein scalar field theory and study the resulting gravitational lensing in the strong deflection limit. In this approximation we compute the position of the relativistic images and the flux ratio of the outermost and the innermost images for the weakly naked singularities (those contained within at least one photon sphere) and the results are compared with the case of strongly naked singularities (those not contained within any photon sphere). All of the lensing quantities are compared to particular cases as Schwarzschild and Kerr black holes as well as Janis-Newman-Winicour naked singularities.
For the entire collection see [Zbl 1168.82001].

MSC:
83C75 Space-time singularities, cosmic censorship, etc.
83C10 Equations of motion in general relativity and gravitational theory
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