Asymptotic Behavior of Static and Stationary Vacuum Space-Times

Details Asymptotic Behavior of Static and Stationary Vacuum Space-Times Asymptotic Behavior of Static and Stationary Vacuum Space-Times

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..989a&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

Let (M, g) be an Einstein vacuum chronological space-time. The space-time is stationary if it admits a time-like Killing field X = ∂/∂t, and static if the Killing field is hypersurface orthogonal. Let u = √ { - g(X,X)} > 0 and let π : (M,g) → (S,gS) be the projection to the orbit space of the R-action generated by X. We recall the following classical and well-known results of Lichnerowicz [1,§85, §90], c.f. however [2] for an earlier version...

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