Gravitational perturbation of the BTZ black hole induced by test particles and weak cosmic censorship in AdS spacetime
Gravitational perturbation of the BTZ black hole induced by test particles and weak cosmic censorship in AdS spacetime
复制标题
DOI：
10.1103/physrevd.83.104037
复制
发表时间：
2011-02
影响因子：
5
通讯作者：
Jorge V. Rocha;V. Cardoso
中科院分区：
文献类型：
--
作者：
Jorge V. Rocha;V. Cardoso
我们分析了粒子落入三维渐近ADS黑洞几何中所引起的引力扰动。更具体地说，我们求解了由BTZ背景中环形分布的测试粒子的测地线运动得到的线性化微扰方程。这种设置确保了背景的U(1)对称性被保留。背景的非渐近平坦度增加了将能量和角动量的重要性归因于测试粒子的守恒量的困难。这个问题是众所周知的，但据我们所知，文献中从未涉及过。我们确认，能量和角动量的天真表达式是正确的定义。最后，我们对弱宇宙审查的渐近ADS版本进行了测试：通过尝试用测试粒子使BTZ黑洞过度旋转，我们发现黑洞不能旋转到超过其极值极限。
We analyze the gravitational perturbations induced by particles falling into a three dimensional, asymptotically AdS black hole geometry. More specifically, we solve the linearized perturbation equations obtained from the geodesic motion of a ringlike distribution of test particles in the BTZ background. This setup ensures that the U(1) symmetry of the background is preserved. The nonasymptotic flatness of the background raises difficulties in attributing the significance of energy and angular momentum to the conserved quantities of the test particles. This issue is well known but, to the best of our knowledge, has never been addressed in the literature. We confirm that the naive expressions for energy and angular momentum are the correct definitions. Finally, we put an asymptotically AdS version of the weak cosmic censorship to a test: by attempting to overspin the BTZ black hole with test particles it is found that the black hole cannot be spun-up past its extremal limit.