Relativistic spin precession in two-body systems

Börner, Gerhard; Ehlers, Jürgen; Rudolph, Ekkart

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Relativistic spin precession in two-body systems

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Börner, Gerhard
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Ehlers, Jürgen
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Rudolph, Ekkart
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Börner, G., Ehlers, J., & Rudolph, E. (1975). Relativistic spin precession in two-body systems. Astronomy and Astrophysics, 44(2), 417-420.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5ED0-C

Abstract

The relativistic spin precession of each component in a two-body system (specifically, a binary system containing a pulsar) is determined analytically for any metric theory of gravity with no preferred frames using the parametrized post-Newtonian formalism. The calculation is carried out assuming that the spin four-vector is Fermi-Walker transported along the world line of each body's center of mass, each body is axisymmetric and has an 'equatorial' plane of symmetry orthogonal to the axis, the mass distribution and velocity field in each body share the symmetry of the body, and the velocity field describes a rotation of each element of the body about the common axis of symmetry. For the case of general relativity, the expression for the spin-precession rate is found to agree with previous results obtained by using the theory of interacting spin-2 fields.