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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.
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