Motion of Test Bodies in General Relativity

Abstract

Two distributions in the sense of Schwartz are introduced to describe a test body. Papapetrou's equations for a pole-dipole test body are derived in a coordinate-independent manner. The supplementary condition SσμUμ = 0 arises in a natural fashion in the course of the derivation. The method for treating test bodies with higher-order poles is indicated.

Identifiers

DOI

10.1063/1.1704055

Citations and references