Hi, can you help mi understand Friedman equation with cosmological constant:(adsbygoogle = window.adsbygoogle || []).push({});

\begin{equation}

(\frac{\dot a}{a})^{2} - \frac{8\pi G \rho}{3}=-\frac{k}{a^2}+\frac{\Lambda}{3}

\end{equation}

I don't get it: Einstein wanted to get flat (##k=0##) and static (##(\frac{\dot a}{a})^{2}=0##) model with ##\rho>0## so he put ##\Lambda## into his equation of field (Friedman equation should look like above I think). He put ##\Lambda## greater then 0 so how it is possible that it compensates positive curvature caused by ##\rho##?

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# How to understand Friedman equation

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