THE METHOD OF IMAGES IN GEOMETROSTATICS

Abstract Since there exist no nonflat singularity free static solutions of the empty-space Einstein equations we give the name geometrostatics to the study of the time-symmetric (instantaneously static) initial value problem. Using the method of spherical inversion images from electrostatics, we construct the initial values for a time-symmetric solution of the empty space Einstein equations having the topology of arbitrary number of Einstein-Rosen “bridges.” The initial data are analytic and asymptotically flat with positive apparent mass.

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