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In this work we study the geometric structure of a globally hyperbolic asymptotically flat four-dimensional vacuum solution to Einstein field equations that contains a null line (that is, a complete achronal null geodesic). By imposing mild conditions on the causal structure of null infinity, we are able to show that such spacetime is globally flat and show that the achronal boundary of the line is simply connected.

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Global Flatness for Asymptotically Flat Spacetimes

  • 会议论文

  • 发表日期：

    2025年

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  • Luis Aké Hau,
  • Luis Farfán,
  • Andrés Solis-Cuevas,
  • Didier A. Solis

摘要

In this work we study the geometric structure of a globally hyperbolic asymptotically flat four-dimensional vacuum solution to Einstein field equations that contains a null line (that is, a complete achronal null geodesic). By imposing mild conditions on the causal structure of null infinity, we are able to show that such spacetime is globally flat and show that the achronal boundary of the line is simply connected.