Axially symmetric two-body problem in general relativity

F. I. Cooperstock
Phys. Rev. D 10, 3171 – Published 15 November 1974
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Abstract

The advantages of the analysis of the two-body problem from an initially static configuration are discussed. The stress which maintains the static equilibrium of two axially (but not spherically) symmetric bodies is removed, and the complementary phenomena of stress breaking and mass motion lead to a dynamic metric perturbation and radiation. The distinctions between the stress-breaking and free-fall phases of the motion are clearly delineated. A new contribution to the radiated energy which arises from the time variation of the tidal forces across the sources in the course of free fall is developed. A potentially very significant contribution from the nonlinearities is also discussed.

  • Received 19 February 1974

DOI:https://doi.org/10.1103/PhysRevD.10.3171

©1974 American Physical Society

Authors & Affiliations

F. I. Cooperstock*

  • Laboratoire de Physique Théorique, Institut Henri Poincaré, 11, rue Pierre et Marie Curie, 75231 Paris Cedex 05, France

  • *Canada-France Scientific Exchange Visitor, on leave from the Department of Physics, University of Victoria, British Columbia, Canada (present address).

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Vol. 10, Iss. 10 — 15 November 1974

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