BLACK HOLES AND ITS MANY SIDES
Keywords:
General Relativity. Schwarzschild black holes. Kerr black holes. Alternative theories. Teleparallel gravity.Abstract
In the context of the Teleparallel Equivalent of General Relativity (an alternative theory able to describe gravity) we have obtained, through the review of subjects in the literature, the field equations for some black hole models in a classical perspective. We first compare Einstein’s Relativity, wich uses differential geometry to describe the space-time, and its teleparallel equivalent, wich molds gravitation as a Gauge Theory. We then discuss the Schwarzschild and Kerr solutions for the field equations (and its physical interpretations) and obtain the mathematical tools required for building up its teleparallel equivalent (such as tetrads, connections and the torsion tensor). We conclude how these distinct ways of formulating Relativity are equivalent, mathematically consistent and provides, each one on its own way, different intepretations for the space-time behavior, while we make the didatic transposition of the subjects in the papers or books consulted. The black holes many faces are then shown as it is possible to describe then through different formalisms.
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