2000/03/31 by José Luis Flores, J. L. Flores, Miguel Sánchez +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Conjugate #Conjugate points #Geodesic #Geodesic map #Geometric Analysis and Curvature Flows #Mathematical analysis #Mathematics #Morse code #Morse theory #Multiplicity (mathematics) #Nonlinear Waves and Solitons #Pure mathematics #Social connectedness #Space (punctuation) #math.DG #msc:53C22 #msc:53C50
paper · pdf · doi:10.1016/s0393-0440(00)00027-9
published as J. Geom. Phys. 36 (2000) 285-314 · 31 pages and 2 figures
openalex publication_date 2000/12/01 · arxiv created 2002/01/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Given two points of a Generalized Robertson-Walker spacetime, the existence, multiplicity and causal character of geodesic connecting them is characterized. Conjugate points of such geodesics are related to conjugate points of geodesics on the fiber, and Morse-type relations are obtained. Applications to bidimensional spacetimes and to GRW spacetimes satisfying the timelike convergence condition are also found.