Table 6.
Open in new tab

Comparison of event rates computed with |$\widehat{\theta }_{\rm S}$| and the Kerr loss-cone angles |$\widehat{\theta }_{\mathcal {W}}$| and |$\widehat{\theta }_{\rm K}$| for each inspiraling object. We take θ = ±0.1 rad, MMBH = 4.3 × 106 M⊙, and a• = 0.99. The upper section shows the change induced by the Kerr loss-cone angles in |$\dot{\Gamma }_{\rm RQ}$| and the lower part shows the change in |$\dot{\Gamma }_{\dot{p}=0}$|⁠.

|$\dot{\Gamma }_{\rm RQ}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.170.921.160.92
WD1.130.941.120.94
NS1.120.951.110.95
BH1.110.951.100.95
|$\dot{\Gamma }_{\dot{p}=0}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.220.891.210.88
WD1.160.931.150.92
NS1.140.941.130.93
BH1.130.941.120.94
|$\dot{\Gamma }_{\rm RQ}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.170.921.160.92
WD1.130.941.120.94
NS1.120.951.110.95
BH1.110.951.100.95
|$\dot{\Gamma }_{\dot{p}=0}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.220.891.210.88
WD1.160.931.150.92
NS1.140.941.130.93
BH1.130.941.120.94
Table 6.
Open in new tab

Comparison of event rates computed with |$\widehat{\theta }_{\rm S}$| and the Kerr loss-cone angles |$\widehat{\theta }_{\mathcal {W}}$| and |$\widehat{\theta }_{\rm K}$| for each inspiraling object. We take θ = ±0.1 rad, MMBH = 4.3 × 106 M⊙, and a• = 0.99. The upper section shows the change induced by the Kerr loss-cone angles in |$\dot{\Gamma }_{\rm RQ}$| and the lower part shows the change in |$\dot{\Gamma }_{\dot{p}=0}$|⁠.

|$\dot{\Gamma }_{\rm RQ}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.170.921.160.92
WD1.130.941.120.94
NS1.120.951.110.95
BH1.110.951.100.95
|$\dot{\Gamma }_{\dot{p}=0}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.220.891.210.88
WD1.160.931.150.92
NS1.140.941.130.93
BH1.130.941.120.94
|$\dot{\Gamma }_{\rm RQ}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.170.921.160.92
WD1.130.941.120.94
NS1.120.951.110.95
BH1.110.951.100.95
|$\dot{\Gamma }_{\dot{p}=0}$||$\dot{\Gamma }_{\widehat{\theta }_{\mathcal {W}}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$||$\dot{\Gamma }_{\widehat{\theta }_{\rm K}}/\dot{\Gamma }_{\widehat{\theta }_{\rm S}}$|
θ [rad]0.1−0.10.1−0.1
BD1.220.891.210.88
WD1.160.931.150.92
NS1.140.941.130.93
BH1.130.941.120.94
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