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The black holes of nature are the most perfect macroscopic objects there are in the universe: the only elements in there that constructed our concept of space and time. Black holes are a class of gravitational objects predicted by Einstein's theory of general relativity given by him in 1915. And since the general theory of relativity provides only a single unique family of solutions for their descriptions, they are the simplest objects as well. Due to the gravitational effects on space-time, its most striking property is that there is a region of space around a black hole where light is unable to escape. The unique two-parameter family of solutions which describes the space-time around black hole is the Kerr family discovered by Roy Patrick Kerr in July, 1963. The two parameters are the mass and the angular momentum of the black holes. The static solution, with zero angular momentum was discovered by Karl Schwarzschild in December, 1915. A study of the black holes of nature is then a study of these solutions. It is to this study that this book is devoted.