Tese Mestrado
Uma Abordagem Progressiva à Teoria da Relatividade Geral
João Rodrigo de Almeida Vaz Fernandes Coimbra
General Relativity is one of the most elegant and fundamental frameworks in modern physics, yet it remains difficult to access for students at the beginning of their studies. Existing literature in Portuguese is scarce and, in many cases, traditional presentations assume complex concepts without clear motivation, creating additional barriers to learning.
This thesis proposes and analyzes a new didactic approach to Relativity, designed to guide the reader progressively and logically through its fundamental concepts. The approach is structured as a sequential narrative, where each result is derived from intuitive motivations and thought experiments, avoiding leaps in reasoning. The text is self-contained, includes detailed proofs, solved examples, and intermediate challenges, allowing each student to adapt the reading process to their own pace.
Although it does not present the complete version of the final approach, this thesis gathers a condensed and optimized structure, emphasizing the points where it differs from traditional literature: original derivations of results, new motivations for established concepts, and a pedagogical integration between mathematical rigor and geometric intuition. The goal is to contribute to the construction of a more accessible, structured, and engaging learning path, which may serve as the basis for the future publication of a didactic book in both Portuguese and English.