I How do I apply weak field approximation to the Einstein field equation?

Das apashanka
Actually from the Einstein field equation I am trying to compute the R00 component and get at a point
R00=k(.5Tg00-T00)
where,T=gαβTαβ
now I am trying to apply the weak field approximation ,how will I proceed?
 
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Again: give us more background. Is this homework? Reaearch? What books are you using?

Applying weak fields means you split up the metric as a background plus fluctuation, and neglect all the fluctuation terms of order 2 and higher. But this is again a textbook result and can be found in wvery textbook on GR, so what's precisely the problem you encounter?
 
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