Testing the cosmic censorship conjecture with point particles: The effect of radiation reaction and the self-force

Testing the cosmic censorship conjecture with point particles: The effect of radiation reaction and the self-force
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DOI:
10.1103/physrevd.84.104006
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发表时间:
2011-11-02
期刊:
影响因子:
5
通讯作者:
Khanna, Gaurav
Khanna, Gaurav
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Barausse, Enrico;Cardoso, Vitor;Khanna, Gaurav

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瓦尔德在1974年设想了一个摧毁黑洞的经典思想实验:它包括将具有大角动量的粒子扔进极端黑洞,检查它们的捕获是否可以使黑洞旋转超过极端极限并产生裸奇点。沃尔德证明,在测试粒子极限下,原本能够产生裸奇点的粒子只是散射。最近,Jacobson和Sotiriou表明,如果我们考虑一个几乎但不完全极端的黑洞,那么在没有反反应效应的情况下,粒子捕获确实可以使时空在克尔极限以上自旋。在这里,我们分析了反作用的影响,并表明,对于一些轨迹引起裸奇点,辐射效应可以忽略不计。然而,对于这些轨道,保守的自作用力是重要的,并且似乎有正确的符号来防止裸奇点的形成。
A classical thought-experiment to destroy black holes was envisaged by Wald in 1974: it consists of throwing particles with large angular momentum into an extremal black hole, checking whether their capture can overspin the black hole past the extremal limit and create a naked singularity. Wald showed that in the test-particle limit, particles that would be otherwise capable of producing naked singularities are simply scattered. Recently, Jacobson and Sotiriou showed that if one considers instead a black hole that is almost, but not exactly extremal, then in the absence of backreaction effects particle capture could indeed overspin the spacetime above the Kerr limit. Here we analyze backreaction effects and show that for some of the trajectories giving rise to naked singularities, radiative effects can be neglected. However, for these orbits the conservative self-force is important, and seems to have the right sign to prevent the formation of naked singularities.