On level sets of Lorentzian distance function


Erkekoglu F., Garcia-Rio E., Kupeli D.

GENERAL RELATIVITY AND GRAVITATION, cilt.35, sa.9, ss.1597-1615, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Konu: 9
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1023/a:1025779017980
  • Dergi Adı: GENERAL RELATIVITY AND GRAVITATION
  • Sayfa Sayıları: ss.1597-1615

Özet

Level sets of Lorentzian distance functions with respect to a point and with respect to an achronal spacelike hypersurface, are analyzed. Some bounds for the Laplacian of such Lorentzian distance functions are obtained and, in relation to them, some spacetime singularity theorems are given.