# Induced Metric Help

• I
thatboi
I am having trouble calculating the extrinsic curvature (12) in the following paper: https://arxiv.org/pdf/gr-qc/0310107.pdf
Specifically, I am unsure of what term to plug in for the induced metric h_{ab} in (8). If I am calculating the \sigma term in (12) is h_{ab} all of (4)?
Also I would like assistance in knowing what the {m(a)/a}' term means in (11) because I cannot get (13) either...

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