From Osher Doctorow
Spacetimes which generalize classical pp-waves and therefore plane
waves were introduced by Flores and Sanchez as (in my notation):
1) (M*, < . , . >_L) with < . , .>_L = < . , .> - F(x, u)du^2 - 2dudv
where M* is M x R^2 and F: M x R --> R is any smooth scalar field.
Flores and Sanchez ' (2007) paper summaries much of the literature and
previous research in this field and closely related fields, largely
(relative to this paper) through a functional J whose infimum
characterizes which points can be causally joined. This J continues
to be important in this paper, being critical to 2 key axioms or
rather conditions H1 and H2.
Osher Doctorow
with (M
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