The components of a Gowdy metric, see Equations (2) and (3
), are not explicit functions of the
coordinates. However, imposing Einstein’s equations leads to a system of nonlinear wave equations for the
components. Consequently, it is useful to analyze the asymptotic behavior of the solutions to this system in
order to be able to draw conclusions concerning the global geometry of the corresponding spacetimes. One
natural first question to ask is if there are any preferred global foliations. Is there, e.g., a constant mean
curvature (CMC) foliation?
http://www.livingreviews.org/lrr-2010-2 |
Living Rev. Relativity 13, (2010), 2
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