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Advances in High Energy Physics
Volume 2015 (2015), Article ID 454217, 11 pages
Research Article

Null Geodesics and Gravitational Lensing in a Nonsingular Spacetime

1Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
2School of Science, Xi’an Jiaotong University, Xi’an 710049, China

Received 25 August 2014; Revised 9 December 2014; Accepted 22 December 2014

Academic Editor: Elias C. Vagenas

Copyright © 2015 Shao-Wen Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


The null geodesics and gravitational lensing in a nonsingular spacetime are investigated. According to the nature of the null geodesics, the spacetime is divided into several cases. In the weak deflection limit, we find the influence of the nonsingularity parameter on the positions and magnifications of the images is negligible. In the strong deflection limit, the coefficients and observables for the gravitational lensing in a nonsingular black hole background and a weakly nonsingular spacetime are obtained. Comparing these results, we find that, in a weakly nonsingular spacetime, the relativistic images have smaller angular position and relative magnification but larger angular separation than those of a nonsingular black hole. These results might offer a way to probe the spacetime nonsingularity parameter and put a bound on it by the astronomical instruments in the near future.