Properties of extended bodies in spacetimes admitting isometries

Physics

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Center Of Gravity, Gravitational Waves, Relativity, Space-Time Functions, Tensor Analysis, Angular Momentum, Field Theory (Physics), Kinetic Energy, Symmetry, Theoretical Physics

Scientific paper

Dixon's center-of-mass description of extended bodies is analyzed for spacetimes admitting isometries. In particular, stationary, axisymmetric and stationary and axisymmetric spacetimes are treated. In the last case, a new coordinate system is constructed which is based on the center-of-mass world line lzero and in the case where lzero is a geodesic (a sufficient condition for this is given) a new restriction on the energy-momentum tensor is obtained.

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