대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권2호
  • /
  • Pages.441-444
  • /
  • 2013
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON NULL CUT POINTS IN TWO-DIMENSIONAL SPACETIMES

  • Kim, Do-Hyung (Department of Applied Mathematics College of Advanced Science Dankook University) ;
  • Kim, Byung Hak (Department of Applied Mathematics College of Applied Science Kyung Hee University)
  • 투고 : 2011.09.20
  • 발행 : 2013.03.31
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초록

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

키워드

참고문헌

  1. J. K. Beem, P. E. Ehrlich, and K. L. Easley, Global Lorentzian Geometry, 2nd edition, Dekker, New York, 1996.
  2. A. N. Bernal and M. Sanchez, On smooth Cauchy hypersurfaces and Geroch's splitting theorem, Comm. Math. Phys. 243 (2003), no. 3, 461-470. https://doi.org/10.1007/s00220-003-0982-6
  3. A. N. Bernal and M. Sanchez, Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes, Comm. Math. Phys. 257 (2005), no. 1, 43-50. https://doi.org/10.1007/s00220-005-1346-1
  4. E. Minguzzi and M. Sanchez, The causal hierarchy of spacetimes, arxiv:gr-qc/0609119.
  5. B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity, Pure and Applied ser., Vol. 103, Academic Press, New York, 1983.
  6. R. Penrose, Techniques of Differential Topology in Relativity, Regional Conference Series in Applied Mathematics, Vol. 7, SIAM Publications, Philadelphia, 1972.