2026-05-31T17:44:15Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/320862026-02-03T12:02:08Zcom_10630_2254col_10630_37959

Geodesic connectedness of a spacetime with a causal Killing vector field. Bartolo, Rossella Riemann, Geometría de We study the geodesic connectedness of a globally hyperbolic spacetime (M, g) admitting a complete smooth Cauchy hypersurface S and endowed with a complete causal Killing vector field K. The main assumptions are that the kernel distribution D of the one-form induced by K on S is non-integrable and that the gradient of g(K, K) is orthogonal to D. We approximate the metric g by metrics gε smoothly depending on a real parameter ε and admitting K as a timelike Killing vector field. A known existence result for geodesics of such type of metrics provides a sequence of approximating solutions, joining two given points, of the geodesic equations of (M, g) and whose Lorentzian energy turns out to be bounded thanks to an argument involving trajectories of some affine control systems related with D. 2024-07-12T10:35:12Z 2024-07-12T10:35:12Z 2024-07-12T10:35:12Z 2024 conference output https://hdl.handle.net/10630/32086 eng Geodesic connectedness of a spacetime with a causal Killing vector field Málaga, España 30 de abril 2024 http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional