Hi does anyone know a website or paper where the friedmann equation is derived from the robertson walker metric? it should have the calculation of atleast a few of the christoffel symbols etc thanks blumfeld
The Friedmann equation can't be derived from the RW metric. It is a constraint on that metric, which is derived from the GR field equations. In other words, you can't derive it wityout the stress-energy tensor.
You may be interested in reading Relativity Demystified by David McMahon. On page 161 the following problem is worked out: Consider the Robertson-Walker metric and suppose we take the Einstein equation with nonzero constant, find the Friedman equations.
Hello Thank you for the reply So the friedmann equation is a constraint on the metric derived from the stress energy tensor what specific stress energy tensor is used? just the diagonal {-rho, p, p ,p }? also are theere any websites that have the derivation of this constraint equation from einsteins field equations>? i will also try to check out the book you recommended thanks!