1996/01/26 by Ciprian Dariescu
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cauchy distribution #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Gravitational singularity #Massless particle #Oblique case #Plane (geometry) #Scalar (mathematics) #Scalar field #gr-qc
paper · pdf · doi:10.1007/bf02061404
published in Foundations of Physics 26(8), 1069-1080 (Springer Science+Business Media) · 14 pages, LaTeX format, figures not included
arxiv created 1996/01/26 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Motivated by the recent wave of investigations on plane domain wall spacetimes with nontrivial topologies, the present paper deals with (probably) the most simple source field configuration which can generate a spatially planary symmetric static spacetime, namely a minimally coupled massless scalar field that depends only upon a spacelike coordinate, z. It is shown that the corresponding exact solutions (\cal M, \bf\rm g±) are algebraically special, type D - [S - 3T](11), and represent globally pathologic spacetimes with a G4 - group of motion acting on \bf\rm R2 × \bf\rm R orbits. In spite of the model simplicity, these ϕ - generated worlds possess naked timelike singularities (reached within a finite universal time by normal non-spacelike geodesics), are completely free of Cauchy surfaces and contain into the t - leveled sections points which can not be jointed by \rm C1 - trajectories images of oblique non-spacelike geodesics. Finally, we comment on the possibility of deriving from (\cal M, \bf\rm g±) two other physically interesting ^^ ^^ ϕ - generated'' spacetimes, by appropiate jonction conditions in the (z = 0) - plane.