Gravitational Interaction of Spinning Bodies, Center-of-Mass Coordinate and Radiation of Compact Binary Systems

Abstract

Spin-orbit and spin-spin effects in the gravitational interaction are treated in a close analogy with the fine and hyperfine interactions in atoms. The proper definition of the cener-of-mass coordinate is discussed. The technique developed is applied then to the gravitational radiation of compact binary stars. Our result for the spin-orbit correction differs from that obtained by other authors. New effects possible for the motion of a spinning particle in a gravitational field are pointed out. The corresponding corrections, nonlinear in spin, are in principle of the same order of magnitude as the ordinary spin-spin interaction.

11 pages, latex, no figures

References in corpus (3)

• Gravitational-Radiation Damping of Compact Binary Systems to Second Post-Newtonian order
• Spin effects in the inspiral of coalescing compact binaries
• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields

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• Frenkel electron and a spinning body in a curved background
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• General relativity effects in precision spin experimental tests of fundamental symmetries
• Multipolar Expansions for the Relativistic N-Body Problem in the Rest-Frame Instant Form
• Multipolar Expansions for Closed and Open Systems of Relativistic Particles
• Dirac equations in curved space-time versus Papapetrou spinning particles
• Spin-axion coupling
• Spinning bodies in curved space-time
• Mathisson-Papapetrou equations in metric and gauge theories of gravity in a Lagrangian formulation
• Spinning gravimagnetic particles in Schwarzschild-like black holes
• Gravitational Radiation from Triple Star Systems
• Existence of conserved quantities and their algebra in curved spacetime