3
votes
3answers
117 views

Relation between the determinants of metric tensors

Recently I have started to study the classical theory of gravity. In Landau, Classical Theory of Field, paragraph 84 ("Distances and time intervals") , it is written We also state that the ...
5
votes
0answers
156 views

Penrose Conformal diagram for flat 2-dim Lorentz space-time

I have the following metric $$ds^2 ~=~ Tdv^2 + 2dTdv,$$ defined for $$(v,T)~\in~ S^1\times \mathbb{R},$$ e.g. $v$ is periodic. This is the according Penrose diagram: Question 1) Is the ...
1
vote
2answers
120 views

Most suitable metric for the Solar system?

If I wanted to solve the Einstein equations for the solar system, which choice of $g_{\mu\nu}$ and $T_{\mu\nu}$ is more suitable? I thought about using a Schwarzschild metric near each planet, but ...