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The singularity theorems of Hawking and Penrose assert the presence of incomplete geodesics in the time evolution of Cauchy data with physically reasonable matter containing a trapped surface. Studying the structure of these singularities and understanding whether generically they entail a loss of predictability power of the theory have become central issues in classical General Relativity.

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Weakly Trapped Submanifolds Immersed in a Generalized Robertson-Walker Spacetime

  • 章节

  • 发表日期：

    2025年

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  • Henrique Fernandes de Lima,
  • Giovanni Molica Bisci,
  • Marco Antonio Lázaro Velásquez

摘要

The singularity theorems of Hawking and Penrose assert the presence of incomplete geodesics in the time evolution of Cauchy data with physically reasonable matter containing a trapped surface. Studying the structure of these singularities and understanding whether generically they entail a loss of predictability power of the theory have become central issues in classical General Relativity.