Black holes are the most fascinating objects in our universe. They have strong gravitational pulls that nothing, not even light, can escape their grasp once it crosses a boundary called the event horizon. The continual gravitational collapse of a massive homogeneous stars leads to the formation of a black hole. On the other hand, if the collapsing star is in-homogeneous then it will lead to the formation of visible singularity (naked singularity: no boundary like event horizon). However, the emergence of a singularity resulting from gravitational collapse poses a challenge. To solve this issue, researchers have introduced regular solutions known as regular black holes. There are various methods to detect a black hole or distinguish it from its mimickers.
In the quest for a fundamental understanding that what types of compact objects exist in nature, researchers have explored the observational properties of different kinds of compact objects like black holes, naked singularity, wormholes, and regular black holes. The investigation of how the precession of a test particle, accretion disk property, gravitational lensing, the shadow cast by these objects, and energy extraction from these compact objects differ from each other are explored in recent years. Investigating their distinguishing characteristics contributes to our understanding of the fundamental nature of spacetime and the behavior of gravity in extreme conditions. Also, it provides an opportunity to test the predictions of general relativity.