Null Geodesics and Gravitational Lensing in a Nonsingular Spacetime

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 q 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 finish line thia cal 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 maxbotix hrlv ez1 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.

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