Post-Newtonian spin and angular momentum of bounded systems

Details Post-Newtonian spin and angular momentum of bounded systems Post-Newtonian spin and angular momentum of bounded systems

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..689c&link_type=abstract

General Relativity and Gravitation, vol. 13, July 1981, p. 689-701.

Physics

7

Angular Momentum, Gravitation Theory, Pulsars, Relativistic Effects, Spin Dynamics, Equations Of Motion, Hamiltonian Functions, Ideal Fluids, Newton Theory, Orbital Mechanics, Rotating Bodies

Scientific paper

The Newtonian expressions for (1) the orbital angular momentum of a two-body system and (2) the spin of each body, are generalized through the introduction of corresponding definitions in the post-Newtonian approximation of fully conservative theories of gravity. By means of this definition of the spin, and assuming that the bodies rotate rigidly and that the equations of motion are Hamiltonian, it is shown that the spin of each body undergoes a relativistic precession about the direction of the orbital angular momentum in fully conservative theories of gravity as a consequence of the local equations of motion for a perfect fluid. The method described is pertinent to the possibility of testing gravity theories by observing binary pulsar relativistic effects.

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