Reply to C. M. Will on the axially symmetric two-body problem in general relativity

Astronomy and Astrophysics – Astrophysics

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Gravitation Theory, Gravitational Waves, Relativity, Two Body Problem, Free Fall, Perturbation Theory, Quadrupoles, Stress Relaxation, Two Fluid Models

Scientific paper

The recent paper by Will (1983) is considered which purports to demonstrate that the gravitational radiation which the authors had computed from their model two-body free-fall system is consistent with the so-called 'quadrupole formula'. It is shown that in fact the system presented by Will is different from the authors' and that the illegitimate application of the quadrupole formula to the authors' system leads to a smaller flux than that which is correctly deduced using general relativity and a proper consideration of nonlinearities. It is demonstrated that a judicious choice of stress release is propagated through the bodies as a superposition of plane and spherical waves leading to pressure fluctuations to the order in question. This underlines the essential distinction between the authors' problem and the Will problem. Various aspects of the problem are also discussed.

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