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We study the time delay between successive relativistic images ingravitational lensing as a possible discriminator between various collapse endstates and hence as a probe of cosmic censorship. Specifically we consider bothblack hole and naked singularity spacetimes admitting photon spheres where aninfinite number of relativistic Einstein Rings can be formed at almost the sameradius and naked singularity spacetimes without a photon sphere where multiplerelativistic Einstein Rings can form almost up to the center of the lens. Themetrics we have considered to sample these scenarios are the Schwarzschildblack hole, Janis-Newman-Winicour (naked singularity with photon sphere),Joshi-Malafarina-Narayan, and Tolman-VI (naked singularities without photonsphere) which are a fair sample of the theoretical possibilities. We show thatthe differential time delay between the relativistic images for nakedsingularities without a photon sphere progressively decreases for the models westudy as opposed to that for black holes and naked singularities with a photonsphere, where it is known to be roughly constant. This characteristicdifference in the time delay between successive images for these two cases canbe potentially exploited for a source with known intrinsic variability todiscriminate between these scenarios even when the images are not spatiallyresolved.

Time Delay between Relativistic Images as a probe of Cosmic Censorship