4pE (r + J2)l/2 F12


4pr- EFI/2
J (r2 + J2)1/2


Be = B od 0,
D^Q -- ro -U


4pi (r + J2)l/2 F1/2
 fJ
 4pr Fi2/2
 fJ (r2 + J2)1/2


4pr2 EF3/2
J (r+J2)1/2'


(5-117)


(5-118)


(5-119)


(5-120)


(5-121)


(5-122)


 S 4ir2 $rF3/2
 fJ (r + J2)1/2'
 4/ir2 rF3/2
fJ ( + J2)1/2'


ev tod te ctdd e C'd r- rod



(5-59) we define

 F --1,S S Trace Sev od
 Rb hs hS7 T.. + hsev + hSod
 ab 0 a b &b ab


1
2 Vb ) race

(2 V(7)


a' V2) Fev,


 SSod = 2(aVb)VVod,


where the labels a, b and c run over 0 and 4.

 Taking the case with a = 0 and b = 0 for example, we have

 1
 SS Trace a
 (2V ev cot
 hS 0ee (2VoVo V) ev (2 CSC2 O cO 000) Feev,


 h o0 = 2 csc OVoVFod 2 csc 0 (0e

Here FTace is defined by Eqs. (5-56) and (5-123) as


cot 80Q) Fod.


(5-123)


(5-124)

(5-125)

(5-126)


(5-127)

(5-128)

(5-129)


FTae Ab h + csc2 Ohs,


4pr EF3/2
J (r + 2)1/2'


Tensors:

From Eq.


and


SS Trace

 hsev
 f f '


(5-130)