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arXiv 1405.2133gr-qchep-th
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Einstein-Dilaton-Gauss-Bonnet引力中慢转黑洞:自旋解的二次阶

Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions

Dimitry Ayzenberg, Nicolas Yunes

摘要:

我们导出了一个在Einstein-Dilaton-Gauss-Bonnet引力下的稳态轴对称黑洞解,它的自旋角动量与黑洞质量的平方之比为二次方.这个解决方案介绍了新的修正以前发现nonspinning和线性自旋解决方案。对事件视界和能层的位置以及四极矩进行了修正。新的解是Petrov I型解,而低阶自旋解是Petrov D型解。在新的解中,在事件视界之外没有违反因果关系的封闭类时曲线或时空区域。我们计算的修改的结合能,开普勒第三定律,和最内层的稳定圆轨道的属性。这些修改对于确定超大质量黑洞周围吸积盘的电磁性质如何从广义相对论中的预期改变是重要的。

英文摘要:

We derive a stationary and axisymmetric black hole solution in Einstein-Dilaton-Gauss-Bonnet gravity to quadratic order in the ratio of the spin angular momentum to the black hole mass squared. This solution introduces new corrections to previously found nonspinning and linear-in-spin solutions. The location of the event horizon and the ergosphere are modified, as well as the quadrupole moment. The new solution is of Petrov type I, although lower order in spin solutions are of Petrov type D. There are no closed timelike curves or spacetime regions that violate causality outside of the event horizon in the new solution. We calculate the modifications to the binding energy, Kepler's third law, and properties of the innermost stable circular orbit. These modifications are important for determining how the electromagnetic properties of accretion disks around supermassive black holes are changed from those expected in general relativity.

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