Einstein's Special Theory of Relativity describes the motion of particles moving at close to the speed of light. Einstein's theory is now very well established as the correct description of motion of relativistic objects, that is, those traveling at a significant fraction of the speed of light. Einstein replaced the laws of Newton and Galileo with his theory of special relativity which showed how space and time are really related. In this book, we have extensively studied some relativistic transformations based on force and discussed the invariance properties in the light of space and time. We have also investigated that the relativity principle and the Lorentz force law enables us to cancel the Lorentz transformation and its time dilation from the main body of special relativity theory. The applicability of the special theory of relativity for inertial reference systems based on the symmetry of space and time that Lorentz transformation of the special theory of relativity is the only possible relationship between the coordinates and time in inertial reference systems, as well as its findings are requirements imposed by the conditions of the symmetry of space and time.

In this book, we investigate the issue of the final fate of a gravitationally collapsing massive stars and the associated cosmic censorship problem. When the star is heavier than a few solar masses, it could undergo an endless gravitational collapse without achieving any equilibrium state. This happens when the star has exhausted its internal nuclear fuel which provides the outwards pressure against the inwards pulling gravitational forces. This remains one of the most outstanding open issues (Islam, 1992) in gravitation theory today. We discuss the essential features of spherically symmetric collapse and the final fate of a massive star which undergoes gravitational collapse. It is the spherically symmetric collapse of a homogenous dust cloud, as described by the Oppenheimer-Snyder model (1939), which led to the general concept of trapped surfaces collapsed to singularities. Our objective here is to discuss the above and such other related important questions concerning the global aspects of gravity, and also to discuss some applications of the results which are already available on the global structure of space-time singularity.