Question: (a) Compute the net rate at which the quadrupolar waves (27.57) carry energy away from their source, by carrying out the surface integral (25.102) with

(a) Compute the net rate at which the quadrupolar waves (27.57) carry energy away from their source, by carrying out the surface integral (25.102) with T^0j being Isaacson’s gravitational-wave energy flux (27.40). Your answer should be Eq. (27.61).

(b) The computation of the waves’ angular momentum can be carried out in the same way, but is somewhat delicate, because a tiny non-radial component of the energy flux, that dies out as 1/r³, gives rise to the O(1/r²) angular momentum flux

Equations.

TGW 1 - (h+ah+B+hx, ahx,B). 16 (27.40)

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