Tidal interaction of a small black hole in the field of a large Kerr black hole
Tidal interaction of a small black hole in the field of a large Kerr black hole
复制标题
大克尔黑洞场中小黑洞的潮汐相互作用
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
E. Poisson
中科院分区：
文献类型：
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作者：
S. Comeau;E. Poisson
一个小黑洞的质量和角动量由于与一个大得多的黑洞的潮汐相互作用而变化的速率在小质量比中被计算到领先的数量级。这个小黑洞要么是旋转的，要么是不旋转的，它在大型克尔黑洞的赤道面上沿圆形轨道运动。轨道是完全相对论的，速率是以轨道速度$Vensureath{le}{V}_{mathrm{Isco}}$的所有数量级计算的，这只受最里面稳定的圆形轨道的大小限制。我们将其表示为$Vensureath{
右行{V}_{mathm{Isco}}$时，速率呈现一个极限值，该极限值仅取决于${V}_{mathm{Isco}}$，而不取决于大黑洞的自旋参数。
The rates at which the mass and angular momentum of a small black hole change as a result of a tidal interaction with a much larger black hole are calculated to leading order in the small mass ratio. The small black hole is either rotating or nonrotating, and it moves on a circular orbit in the equatorial plane of the large Kerr black hole. The orbits are fully relativistic, and the rates are computed to all orders in the orbital velocity $Vensuremath{le}{V}_{mathrm{isco}}$, which is limited only by the size of the innermost stable circular orbit. We show that as $Vensuremath{
ightarrow}{V}_{mathrm{isco}}$, the rates take on a limiting value that depends only on ${V}_{mathrm{isco}}$ and not on the spin parameter of the large black hole.