On level sets of Lorentzian distance function

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

GENERAL RELATIVITY AND GRAVITATION, vol.35, no.9, pp.1597-1615, 2003 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 9
  • Publication Date: 2003
  • Doi Number: 10.1023/a:1025779017980
  • Journal Name: GENERAL RELATIVITY AND GRAVITATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1597-1615
  • Hacettepe University Affiliated: No

Abstract

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.