Metric for 2D de Sitter?
3
3
What is the correct metric to use for two dimensional de Sitter? If one starts with the following metric, which looks similar to de Sitter in 4 dimensions: $$ds^2 = -dt^2 + e^{2H t} dx^2,$$ one can calculate $R = 2H^2$ , and $R_{00} = -H^2$ , which gives the $Lambda = 0$ , which is not the solution one is looking for. What should be the correct metric to use for the same?
general-relativity differential-geometry metric-tensor de-sitter-spacetime
share | cite | improve this question
edited Dec 10 at 5:46
Qmechanic ♦
101k 12 183 1145