32: Equações de Einstein

Na aula 32, do dia 19/11, seguindo as secs. 8.4, 8.5 e 8.6 de [1], construímos as eqs. de Einstein.
Note que, relativamente às convenções listadas no Apêndice 8B (p. 193) de [1], nossas conveções são S1=-1, S2=1, S3=1.

Tarefa:
Determine S1, S2, S3 para os textos [2] em diante.

[1] Michael Paul Hobson, George Efstathiou, A. N. Lasenby, General Relativity: An Introduction for Physicists, Cambridge University Press, 2006.
[2] Sean Carrol, Spacetime and Geometry, An Introduction to General Relativity, Addison-Wesley, 2003
[3] M. Nakahara, Geometry, Topology and Physics, 2nd Ed. IOP, 2003.
[4] E. M. Lifshitz and L. D. Landau,: Field Theory : Volume 3, Butterworth-Heinemann, 1981.
[5] Stephani, H.; Kramer, D.; MacCallum, M.; Hoenselaers, C.; & Herlt, E. Exact Solutions of Einstein's Field Equations (2nd edn.). Cambridge: Cambridge University Press, 2003.(Google Books).
[6] Robert M. Wald, General Relativity, University Of Chicago Press, 1984.
[7] Gron, Oyvind, Hervik, Sigbjorn, Einstein's General Theory of Relativity with Modern Applications in Cosmology, Springer, 2007.