Mathematical Physics


Ecriture Détaillée Des Equations de la Relativité Générale :Cas D’Une Métrique Diagonale

Authors: Abdelmajid Ben Hadj Salem

In this note, we study Einstein equations (EE) of general relativity considering a manifold M with a diagonal metric g_{ij}. We calculate the expression of the components of Ricci and Riemann tensors and the value of the scalar curvature R. Then we give the expression of the (EE) : -a- for the case where g_{ii}=g_i=g_i(x_i); -b- for the case where g_1=g_1(x_1=t) and g_i=g_i(t,x_i) for i=2,3,4$; -c- for the case (b) with x_4=z_0=constant.

Comments: 22 Pages. In French.

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Submission history

[v1] 2019-05-17 17:43:20

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