2018/10/07 by Ivan P. Costa e Silva, Silva, Ivan P. Costa e, José Luis Flores +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #math-ph #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.1810.03183
The proof of Theorem 1.6 had a gap in the previous version which is now fixed. This version also includes other minor changes
arxiv created 2019/01/18 · arxiv updated 2019/01/21
Inspired by the results in a recent paper by G. Galloway and C. Vega (see arXiv:1712.00785), we investigate a number of geometric consequences of the existence of a timelike conformal Killing vector field on a globally hyperbolic spacetime with compact Cauchy hypersurfaces, especially in connection with the so-called Bartnik's splitting conjecture. In particular we give a complementary result to the main theorem in Galloway and Vega's paper.