  This work is an extensive literature review focusing on a few of the
important topics in the large-scale structure of spacetime. The work is a
Bachelor's thesis submitted at the Institute of Theoretical Physics, University
of Leipzig.
  The author starts the thesis by deriving the Schwarzchild metric, Reissner
Nordstorm metric and discusses their properties with appropriate Penrose
diagrams. The Kerr black hole is metric is assumed, and its features are
examined.
  The causal structure of spacetime is discussed with a focus on different
stages of causality on a spacetime, Cauchy surfaces, and what does it mean for
spacetime to be Globally hyperbolic. Then, the author moves to Singularity
theorems, where one can find an algorithm to deal with non-coordinate
singularities in spacetime. A few singularity theorems are discussed in detail.
Then, the asymptotic structure of spacetime is discussed, which leads to a
precise definition of a Black hole and its event horizon. The Black hole area
theorem by Prof. Hawking is dissected pointwise with exclusive author comments
as an attempt to simplify it for a less advanced audience.
  After that, a few exotic propositions in General relativity like closed
timelike curves and warp drives are discussed.
