112
10
F
10-2
A
10-46 0
10-6
of.--.. De 2 1
C4-
8E
-'. '- -....-.. .....
' . .. .
10-10
+. E2
10-12
10-14 E4 E3 -
10-16
10 ,
10
0 5 10 15 20 25 30 35 40
1
Figure 4-1. Self-force of a scalar field in the Schwarzschild spacetime (by courtesy
of Detweiler et al, 2003 [18])
The self-force sel = 1.37844828(2) x 10-5 was obtained by summing
re [( + 1/2) A, + B, 2v2D,/(2f 1)(2f + 3)] over the range of our data
[18]. The remainder of the sum to i = oo was approximated by the contributions
of the E1, E%,... sums from 41 to oo after determining the E, coefficients [18].
Table 4-1 shows the contributions of each Ek to the self-force self. This result is
in agreement with that of Burko [29].