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Authors: Jeff D. Kaplan, David A. Nichols, Kip S. Thorne

Date: 19 Aug 2008

Abstract: The equations of the linearized first post-Newtonian approximation to general relativity are often written in "gravitoelectromagnetic" Maxwell-like form, since that facilitates physical intuition. This paper expresses the first post-Newtonian approximation, including all nonlinearities, in Maxwell-like form, focusing especially on the gravitational momentum and its conservation as expressed in terms of the Landau-Lifshitz pseudotensor. The authors and their colleagues are finding this formalism useful in developing physical intuition into numerical-relativity simulations of binary black holes with spin.

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