On pseudoconvexity conditions and static spacetimes

Document Type : Original Article


Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.


Recently, the relationship between (geodesics) convexity, connectedness, and completeness properties in Riemannian manifolds (∑; h) and the causal properties in Lorentzian static spacetimes (M; g) = (R × ∑; -dt2 + h) is studied. In this paper, some sufficient conditions are introduced to (∑; h) be geodesically convex.