Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations

• 成果类型: Article
• 署名作者: Dafermos, M
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2003.158.875
• 发表日期: 2003
• 页码: 875-928
• 关键词: gravitational collapse; black-hole; SINGULARITIES

摘要

This paper considers a trapped characteristic initial value problem for the spherically symmetric Einstein-Maxwell-scalar field equations. For an open set of initial data whose closure contains in particular Reissner-Nordstrom data, the future boundary of the maximal domain of development is found to be a light-like surface along which the curvature blows up, and yet the metric can be continuously extended beyond it. This result is related to the strong cosmic censorship conjecture of Roger Penrose.