Connectivity by geodesics in open subsets of globally hyperbolic spacetimes-Reference-Cited by-同舟云学术

Connectivity by geodesics in open subsets of globally hyperbolic spacetimes

Published:2015-09 Issue:08 Volume:12 Page:1560009
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Bartolo Rossella¹,Candela Anna Maria²,Flores José Luis³

Affiliation:

1. Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via E. Orabona 4, 70125 Bari, Italy

2. Dipartimento di Matematica, Università degli Studi di Bari "Aldo Moro", Via E. Orabona 4, 70125 Bari, Italy

3. Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Campus Teatinos, 29071 Málaga, Spain

Abstract

We discuss the geodesic connectedness problem in open subsets with convex boundary of globally hyperbolic spacetimes endowed with a complete, timelike or lightlike, Killing vector field. Furthermore, we furnish applications to generalized plane waves.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887815600099

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5. V. Benci, D. Fortunato and F. Giannoni, Progress in Variational Methods in Hamiltonian Systems and Elliptic Equations, Pitman Research Notes in Mathematics Series 243 (Longman, 1990) pp. 21–41.

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1. Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field;Revista Matemática Iberoamericana;2017