Physics
Scientific paper
Dec 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ncimb..24..157s&link_type=abstract
Nuovo Cimento, Sezione B, vol. 24 B, Dec. 11, 1974, p. 157-188.
Physics
3
Coordinate Transformations, Gravitational Fields, Mass Transfer, Relativity, Two Body Problem, Asymptotes, Electrodynamics, Field Theory (Physics), Gauge Invariance, Lorentz Transformations, Schwarzschild Metric
Scientific paper
A definition of a freely moving mass in general relativity is proposed based upon properties of the analogous motion in special relativity. Coordinate ambiguities can, to a large extent, be removed with the use of 'invariant' quantities which play the role of 'gauge invariants' in general relativity under coordinate transformations which do not change the frame of reference. The gravitational 'force' which a freely moving source, taken to be a Schwarzschild mass, exerts on a test mass momentarily at rest, or on another mass momentarily at rest asymptotically far away is calculated, showing that two-body effects can be important even in the case of a 'test' mass. The definition of a freely moving mass is shown to be physically meaningful to terms of second order.
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