A Study on the Principle of Weiss in General Relativity
Princípio Variacional de Weiss, Ação de Einstein-Hilbert, Formalismo de Palatini
This dissertation addresses the Theory of General Relativity as field theory, from the
point of view of the Weiss Variational Principle. It is presented and used highlighting
the fact that it defines the field equations and the boundary terms of the variational
problem. From it, we will examine information encoded in terms of boundary, such as the
quantities conserved by symmetries. Our objective is to analyze the General Relativity
in the formalism in terms of the metric and of Palatini in the light of this variational
principle, applying the same to the case of the Topologically Massive Gravity in three
dimensions.