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arXiv · 1810.03183

Some remarks on conformal symmetries and Bartnik's splitting conjecture

Ivan P. Costa e Silva·José Luis Flores·Jónatan Herrera
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Abstract

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.

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Ivan P. Costa e Silva, José Luis Flores, Jónatan Herrera. 2018-10-07. Some remarks on conformal symmetries and Bartnik's splitting conjecture. https://arxiv.org/abs/1810.03183

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