9(FN) OI
g(FN) IJ
2 OK v L
-3 R(FN)O, o +FN FN N
1
t 0 XK XLNX4 + O(X4 /R4),
--4 R(FN) OKIL,M XFN FN + ( FN
IJ R(FN) IKJL X K FN
6 R(FN)IKJL,M o XFNXNFN + O(XFN/ 4).
(B27)
(B28)
To the quadratic order, these results agree with Misner, Thorne, and Wheeler
[19] and also with Manasse and Misner [23] apart from the signs in front of
the Riemann tensors.1 The cubic order perturbation terms are found to be in
agreement with Refs. [37] and [38].
1 Manasse and Misner have all (+) signs in front of the Riemann tensors, which
is due to their different sign conventions for the Riemann tensors.