Nonlinear Evolution and Final Fate of Charged Anti-de Sitter Black Hole Superradiant Instability.
Nonlinear Evolution and Final Fate of Charged Anti-de Sitter Black Hole Superradiant Instability.
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DOI：
10.1103/physrevlett.116.141102
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发表时间：
2016-01
影响因子：
8.6
通讯作者：
Pablo Bosch;Stephen R. Green;L. Lehner
中科院分区：
文献类型：
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作者：
Pablo Bosch;Stephen R. Green;L. Lehner
描述了Reissner-Nordström-anti-de Sitter黑洞附近无质量带电标量场与广义相对论和电磁耦合的超辐射不稳定性的完全非线性发展。负宇宙常数的存在为考虑完美反射边界条件和研究标量场与黑洞重复相互作用的动力学提供了一个自然的背景。在早期，微小的超辐射微扰如线性化研究所预期的那样增长。反向反应导致黑洞失去电荷和质量，直到微扰变成非超辐射，最终状态由一个稳定的毛茸茸的黑洞描述。对于大规范耦合，不稳定性提取了单位质量的大量电荷，导致了更大的熵增加。我们讨论了观测到的行为对黑洞时空中超辐射的一般问题的影响。
We describe the full nonlinear development of the superradiant instability for a charged massless scalar field coupled to general relativity and electromagnetism, in the vicinity of a Reissner-Nordström-anti-de Sitter black hole. The presence of the negative cosmological constant provides a natural context for considering perfectly reflecting boundary conditions and studying the dynamics as the scalar field interacts repeatedly with the black hole. At early times, small superradiant perturbations grow as expected from linearized studies. Backreaction then causes the black hole to lose charge and mass until the perturbation becomes nonsuperradiant, with the final state described by a stable hairy black hole. For large gauge coupling, the instability extracts a large amount of charge per unit mass, resulting in greater entropy increase. We discuss the implications of the observed behavior for the general problem of superradiance in black hole spacetimes.