Friedmann Equation With Cosmological Constant. This problem is about two hypothetical universes which obey the friedmann equation. 10 70 m2.
One of them is and has always been matter dominated. The result is f 1 1 kr2 where k 1 0 or 1. Indeed the left hand side of 7 is the most general local coordinate invariant divergenceless symmetric two index tensor we can construct solely from the metric and its first and second derivatives.
The resulting metric called the robertson walker metric is.
1017 m2 s 2 or as 10 122 by multiplication with square planck length i e. Indeed the left hand side of 7 is the most general local coordinate invariant divergenceless symmetric two index tensor we can construct solely from the metric and its first and second derivatives. 10 70 m2. Ds2 dt2 a2 dr2 1 kr2 r2dθ2 r2sin2θdϕ2.
