2011

Mechanics of extended masses in general relativity

Harte, Abraham I.

Understand

The "external" or "bulk" motion of extended bodies is studied in general relativity.

Compact material objects of essentially arbitrary shape, spin, internal composition, and velocity are allowed as long as there is no direct (non-gravitational) contact with other sources of stress-energy.
Physically reasonable linear and angular momenta are proposed for such bodies and exact equations describing their evolution are derived.
Changes in the momenta depend on a certain "effective metric" that is closely related to a non-perturbative generalization of the Detweiler-Whiting R-field originally introduced in the self-force literature.

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