Gravitational Lensing by Rotating Naked Singularities
arXiv:0806.3289 · doi:10.1103/PhysRevD.78.083004
Abstract
We model massive compact objects in galactic nuclei as stationary, axially-symmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In the weak deflection limit we study analytically the position of the two weak field images, the corresponding signed and absolute magnifications as well as the centroid up to post-Newtonian order. We show that there are a static post-Newtonian corrections to the signed magnification and their sum as well as to the critical curves, which are function of the scalar charge. The shift of the critical curves as a function of the lens angular momentum is found, and it is shown that they decrease slightingly for the weakly naked and vastly for the strongly naked singularities with the increase of the scalar charge. The point-like caustics drift away from the optical axis and do not depend on the scalar charge. In the strong deflection limit approximation we compute numerically the position of the relativistic images and their separability for weakly naked singularities. All of the lensing quantities are compared to particular cases as Schwarzschild and Kerr black holes as well as Janis--Newman--Winicour naked singularities.
35 pages, 30 figures
References in corpus (9)
- Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
- Strong deflection limit of black hole gravitational lensing with arbitrary source distances
- Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity
- Braneworld black hole gravitational lens: Strong field limit analysis
- Kerr-Sen dilaton-axion black hole lensing in the strong deflection limit
- Gravitational lensing by wormholes
- Magnification relations for Kerr lensing and testing Cosmic Censorship
- Primary caustics and critical points behind a Kerr black hole
- Gravitational lensing by stable C-field wormhole