Action for Vacuum Einstein’s Equation with a Killing Symmetry
نویسندگان
چکیده
In a space-time M with Killing vector field ξa which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of ξa gives a 3-dimension space S. An action of the fields on S is proposed which gives the same fields equations as those reduced from the vacuum Einstein equation on M . PACS number(s): 04.20.Fy, 04.20.Cv
منابع مشابه
Actions for Vacuum Einstein’s Equation with a Killing Symmetry
In a space-time M with a Killing vector field ξa which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of ξa gives a 3-dimensional space S. Besides the symmetry-reduced action from that of Einstein-Hilbert, an alternative action of the fields on S is also proposed which gives the same fields equations as those reduced from the vacuum Einstein equation o...
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