Timelike symmetries and causality in Lorentzian manifolds

Authors

  • C. Atindogbe University of Abomey-Calavi
  • R. Hounnonkpe University of Abomey-Calavi

Keywords:

Causality, timelike symmetries, null hypersurface, causal hierarchy

Abstract

Metric and curvature symmetries (Killing, homothetic, conformal, null convergence conditions...) of Riemannian, semi-Riemannian, and lightlike manifolds play an important role in theoretical physics, especially in general relativity. In the present paper, we investigate and discuss the consequences that spacetimes admit such symmetries and show that their existence places restrictions on both the null geometry of hypersurfaces and the different hierarchies of spacetime causality.

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Published

2018-09-24

How to Cite

Atindogbe, C., & Hounnonkpe, R. (2018). Timelike symmetries and causality in Lorentzian manifolds. International Journal of Maps in Mathematics, 1(2), 188–218. Retrieved from https://simadp.com/journalmim/article/view/30

Issue

Vol. 1 No. 2 (2018): International Journal of Maps in Mathematics

Section

Articles

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