In general relativity,naked singularities are spacetime singularities that are not hidden inside a black hole.Penrose(1969)proposed that naked singularities should not appear in gravitational collapse,which is called the cosmic censorship hypothesis.However,people found examples of naked singularities formation in gravita-tional collapse by numerical computations and mathematical proofs,and then conjectured that naked singularities should be unstable.In this paper,we review some recent mathematical developments on the instability of naked singularities in general relativity.
关键词
广义相对论/Einstein方程/宇宙监督假设/裸奇点/陷俘面
Key words
general relativity/Einstein equation/cosmic censorship hypothesis/naked singularity/trapped surface
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