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I need to compute the linearised Einstein Equations around a fixed metric

$$g_{μν}=\text{Minkowski metric} + h_{μν}$$

which is not the flat metric.

Does anyone know a Mathematica package or a review paper that can help me?

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4  
You can start there: Ricci tensor and Christoffel symbols in Mathematica – Kuba May 21 '14 at 12:15
1  
Closely related: 35598. If I understand correctly the only difference is to use Minkowski metric instead of symbolic one. – Kuba Dec 1 '15 at 8:19

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