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2008

Rigid motion revisited: rigid quasilocal frames

Epp, Richard J., Mann, Robert B., McGrath, Paul L.

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We introduce the notion of a rigid quasilocal frame (RQF) as a geometrically natural way to define a "system" in general relativity.

An RQF is defined as a two-parameter family of timelike worldlines comprising the worldtube boundary of the history of a finite spatial volume, with the rigidity conditions that the congruence of worldlines is expansion-free (constant size) and shear-free (constant shape).
This definition of a system is anticipated to yield simple, exact geometrical insights into the problem of motion in general relativity.
It begins by answering the questions what is in motion (a rigid two-dimensional system boundary), and what motions of this rigid boundary are possible.

Rigid motion revisited: rigid quasilocal frames · Around

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J. Llosa and D. Soler, Class. Quant. Grav. 21
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