RT Conference Proceedings
T1 Geodesic connectedness of a spacetime with a  causal Killing vector field.
A1 Bartolo, Rossella
K1 Riemann, Geometría de
AB We study the geodesic connectedness of a globally hyperbolic spacetime(M, g) admitting a complete smooth Cauchy hypersurface S and endowed witha complete causal Killing vector field K. The main assumptions are that thekernel distribution D of the one-form induced by K on S is non-integrable andthat the gradient of g(K, K) is orthogonal to D. We approximate the metric gby metrics gε smoothly depending on a real parameter ε and admitting K as atimelike Killing vector field. A known existence result for geodesics of such typeof metrics provides a sequence of approximating solutions, joining two givenpoints, of the geodesic equations of (M, g) and whose Lorentzian energy turnsout to be bounded thanks to an argument involving trajectories of some affinecontrol systems related with D.
YR 2024
FD 2024
LK https://hdl.handle.net/10630/32086
UL https://hdl.handle.net/10630/32086
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 24 ene 2026