(ed.). Gravitational waves (IOP, 2001)(422s).

Scalar–tensor cross sections 173Table 11.2. Eigenvalues k S n2 R, relative weights K n2, D n2 , ˜D n2 and F n coefficients for ahollow sphere with Poisson ratio σ P = 1/3. Values are given for a few different thicknessparameters ς.ς n k S n2 R K n2 D n2˜D n2 F n0.10 1 2.638 36 0.855 799 0.000 395 −0.003 142 2.946 022 5.073 58 0.751 837 0.002 351 −0.018 451 1.169 343 10.960 90 0.476 073 0.009 821 −0.071 685 0.022 070.15 1 2.611 61 0.796 019 0.001 174 −0.009 288 2.869 132 5.028 15 0.723 984 0.007 028 −0.053 849 1.241 533 8.258 09 −2.010 150 −0.094 986 0.672 786 0.081 130.25 1 2.491 22 0.606 536 0.003 210 −0.024 94 2.552 182 4.912 23 0.647 204 0.019 483 −0.138 67 1.550 223 8.242 82 −1.984 426 −0.126 671 0.675 06 0.053 254 10.977 25 0.432 548 −0.012 194 0.022 36 0.035 030.50 1 1.943 40 0.300 212 0.003 041 −0.022 68 1.619 782 5.064 53 0.745 258 0.005 133 −0.028 89 2.295 723 10.111 89 1.795 862 −1.697 480 2.982 76 0.197 074 15.919 70 −1.632 550 −1.965 780 −0.309 53 0.171 080.75 1 1.449 65 0.225 040 0.001 376 −0.010 17 1.152 912 5.215 99 0.910 998 −0.197 532 0.409 44 1.822 763 13.932 90 0.243 382 0.748 219 −3.201 30 1.089 524 23.763 19 0.550 278 −0.230 203 −0.817 67 0.081 140.90 1 1.265 65 0.213 082 0.001 019 −0.007 55 1.038 642 4.977 03 0.939 420 −0.323 067 0.522 79 1.541 063 31.864 29 6.012 680 −0.259 533 4.052 74 1.464 864 61.299 48 0.205 362 −0.673 148 −1.043 69 0.134 70r(ω n2 ) =[5 × 21/31921G 5/3 Mc5/3 MvS2( BD + 2)(12 BD + 19) c 3¯hω 4/3n2 SNR F n] 1/2(11.113)For a CuAl sphere, the speed of sound is v S = 4700 m s −1 . We reportin table 11.3 the maximum distances at which a JBD binary can be seen with a100 ton hollow spherical detector, including the size of the sphere (diameter andthickness factor) for SNR = 1. The Brans–Dicke parameter BD has been givena value of 600. This high value has as a consequence that only relatively nearbybinaries can be scrutinized by means of their scalar radiation of GWs. A slightimprovement in sensitivity is appreciated as the diameter increases in a fixed massdetector. Vacancies in the tables mean the corresponding frequencies are higherthan ν [5 cycles] .The signal associated with a gravitational collapse can be modelled, within