Nesta sexta, na aula 3, foram apresentados os seguintes tópicos do livro do Weinberg, que devem ser cuidadosamente relidos, refazendo as passagens matemáticas:
3 THE PRINCIPLE OF EQUIVALENCE 67
1 Statement of the Principle 67
Equivalence of gravitation and inertia. Analogy with metric geometry. The weak and strong principles of equivalence.
2 Gravitational Forces 70
The equation of motion. The affine connection. The metric tensor. Motion of photons. Light travel times. Determination of the locally inertial frames.
3 Relation between metric and affine connection 73
Derivatives of the metric in terms of the affine connection.The Principle of Equivalence sharpened. Solution for the affine connection. Inverse of the metric tensor. Variational form of the equations of motion. Geodesics.
4 The Newtonian Limit 77
Relation between g_{00} and the Newtonian potential.
Os tópicos em azul serão apresentados na aula de quarta, 01/08.
Lembro que na quarta devem ser entregues os exercícios do cap. 2 de Liddle e na sexta, 03/08, os problemas propostos na aula de hoje (Weinberg):
1. Provar a eq. (3.2.10) .
2. Deduza a eq. (3.3.7).
Na segunda, 13:30, prosseguiremos com o cap. 3 de Liddle.
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