Digitale Medien
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
43 (2002), S. 2439-2465
ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
This work investigates some global questions about cosmological space–times with two-dimensional spherical, plane, and hyperbolic symmetry containing "well-behaved" matter. The result is that these space–times admit a global foliation by prescribed mean curvature surfaces, which extends at least toward a crushing singularity. The time function of the foliation is geometrically defined and unique up to the choice of an initial Cauchy surface. This work generalizes a similar analysis on constant mean curvature foliations and avoids the topological obstructions arising from the existence problem. © 2002 American Institute of Physics.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.1466882
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