Abstract
The concept of a test object is introduced. The definition includes mini black holes. This test-particle concept makes it possible to introduce unambiguously the concept of a background space-time. Noether's theorem is then used to introduce dynamical quantities for test objects, and this has made it possible to generalize covariantly Papapetrou's energy-momentum pseudotensor for the case of a curved background space-time. The additional use of the nonradiative approximation and allowance for the zeroth and first moments of the dynamical quantities leads to the conclusion that the motion of a test object (including mini black holes) satisfies the Mathisson-Papapetrou equations. This result is achieved by taking into account the gravitational field of the test object itself in the integral dynamical quantities.
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