Axially symmetric two-body problem in general relativity. III. Bondi mass loss and the failure of the quadrupole formula

1979 ◽  
Vol 20 (12) ◽  
pp. 2995-3003 ◽  
Author(s):  
F. I. Cooperstock ◽  
D. W. Hobill
Keyword(s):  
General Relativity ◽  
Mass Loss ◽  
Body Problem ◽  
Axially Symmetric ◽  
Two Body Problem ◽  
Bondi Mass

The post-Newtonian approximation

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Body Problem ◽  
Equations Of Motion ◽  
Two Body Problem ◽  
Newtonian Approximation ◽  
Actual Motion ◽  
Law Of Attraction ◽  
Universal Law ◽  
Two Bodies

This chapter embarks on a study of the two-body problem in general relativity. In other words, it seeks to describe the motion of two compact, self-gravitating bodies which are far-separated and moving slowly. It limits the discussion to corrections proportional to v2 ~ m/R, the so-called post-Newtonian or 1PN corrections to Newton’s universal law of attraction. The chapter first examines the gravitational field, that is, the metric, created by the two bodies. It then derives the equations of motion, and finally the actual motion, that is, the post-Keplerian trajectories, which generalize the post-Keplerian geodesics obtained earlier in the chapter.

Axially symmetric gravitational two-body problem of Cooperstock, Lim, and Hobill

1982 ◽  
Vol 25 (12) ◽  
pp. 3433-3437 ◽  
Author(s):  
Martin Walker ◽  
Clifford M. Will
Keyword(s):  
Body Problem ◽  
Axially Symmetric ◽  
Two Body Problem

scholarly journals Entropy theorems in classical mechanics, general relativity, and the gravitational two-body problem

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Marius Oltean ◽  
Luca Bonetti ◽  
Alessandro D. A. M. Spallicci ◽  
Carlos F. Sopuerta
Keyword(s):  
General Relativity ◽  
Body Problem ◽  
Classical Mechanics ◽  
Two Body Problem

On the two-body problem in general relativity

1954 ◽  
Vol 12 (2) ◽  
pp. 226-232 ◽  
Author(s):  
B. Bertotti
Keyword(s):  
General Relativity ◽  
Body Problem ◽  
Two Body Problem
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