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We present a study of the so called relaxed field equations of generalrelativity in terms of a decomposition of the metric; which is designed to dealwith the notion of particles. Several known results are generalized to acoordinate free covariant discussion. We apply our techniques to the study of aparticle up to second order.

Approximation Method for the Relaxed Covariant Form of the Gravitational Field Equations for Particles