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On null cut points in two-dimensional spacetimes

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초록

It is shown that any two-dimensional globally hyperbolic spacetime with noncompact Cauchy surfaces has no null cut points.

Abstract

It is shown that any two-dimensional globally hyperbolic spacetime with noncompact Cauchy surfaces has no null cut points.

참고문헌 (6)

  1. J. K. Beem, "Global Lorentzian Geometry, 2nd edition" (1996), Dekker
  2. A. N. Bernal, "On smooth Cauchy hypersurfaces and Geroch’s splitting theorem", Comm. Math. Phys, 243(3), pp.461~470 (2003)
  3. A. N. Bernal, "Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes", Comm. Math. Phys, 257(1), pp.43~50 (2005)
  4. E. Minguzzi, "The causal hierarchy of spacetimes", arxiv:gr-qc
  5. B. O’Neill, "Semi-Riemannian Geometry with Applications to Relativity, Pure and Applied ser., Vol. 103" (1983), Academic Press
  6. R. Penrose, "Techniques of Differential Topology in Relativity", Regional Conference Series in Applied Mathematics, 7 (1972)

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