Abstract
A new approach to the two-body problem is introduced which entails the perturbation of an initially static configuration. It is demonstrated that Einstein's theory demands that the bodies move when the equilibrium-sustaining stress is weakened. Radiation from the system, both during the stress-breaking and free-fall period are discussed. For free-fall, the non-linearities could greatly alter the energy loss rate from that predicted by the ‘quadrupole formula’.
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References
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Curzon, H.E.J. (1924).Proc. Lond. Math. Soc.,23, 477; for a review of the static two-body problem, see: Darmois, G. (1927).Mém. Sci. Math., Fasc. XXV.
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Supported by National Research Council of Canada Grants A5340, TO624.
Work performed at the Laboratoire de Physique Théorique, Institut Henri Poincaré under the auspices of the Canada-France Scientific Exchange Visitor Program.
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Cooperstock, F.I. The axially-symmetric two-body problem. Gen Relat Gravit 6, 91–97 (1975). https://doi.org/10.1007/BF00766607
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DOI: https://doi.org/10.1007/BF00766607