Deriving Friedmann Equation from RW Metric - Blumfeld

[blumfeld0]

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

 

[Parlyne]

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.

 

[renerob]

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.

 

[blumfeld0]

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!