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arXiv 0810.0025gr-qc
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广义相对论中裸奇点和黑洞内部的不稳定性

Instabilities of naked singularities and black hole interiors in General Relativity

Gustavo Dotti, Reinaldo J. Gleiser, Jorge Pullin, Ignacio F. Ranea-Sandoval, Héctor Vucetich

摘要:

在广义相对论中,代表黑洞的粒子可能会对它们的某些参数值表现出裸奇点。超极值($J^2 > M>0$)克尔和超极值($|Q|>M>0$)赖斯纳-诺德斯特伦时空,以及负质量史瓦西时空都是如此。我们回顾了我们最近的工作,我们表明,这些赤裸裸的奇异时空是不稳定的线性引力扰动下,一个结果,支持宇宙审查猜想,也是内部固定区域以外的内部视界的克尔黑洞($J^2 <M$)是线性不稳定的。

英文摘要:

Metrics representing black holes in General Relativity may exhibit naked singularities for certain values of their parameters. This is the case for super-extremal ($J^2 > M>0$) Kerr and super-extremal ($|Q|>M>0$) Reissner-Nördstrom spacetimes, and also for the negative mass Schwarzschild spacetime. We review our recent work where we show that these nakedly singular spacetimes are unstable under linear gravitational perturbations, a result that supports the cosmic censorship conjecture, and also that the inner stationary region beyond the inner horizon of a Kerr black hole ($J^2 <M$) is linearly unstable.

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