Spinning test-particles in general relativity. I

1951/10/23 by A. Papapetrou · 22 citations
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #Relativity and Gravitational Theory

paper · doi:10.1098/rspa.1951.0200

openalex publication_date 1951/10/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Abstract A method for the derivation of the equations of motion of test particles in a given gravitational field is developed. The equations of motion of spinning test particles are derived. The transformation properties are discussed and the equations of motion are written in a covariant form.

Cited by

• Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown
• Note on the Kerr Spinning-Particle Equations of Motion
• Hidden Momentum and the Absence of the Gravitational Spin Hall Effect in a Uniform Field
• Gravitational Wave Detection Based on Gravitomagnetic Effects
• Conserved quantities and integrability for massless spinning particles in general relativity
• Kerr black holes as circular polarizers
• Robust topological invariants of timelike circular orbits for spinning test particles in black hole spacetimes
• Deflection of Massive Spin-(1)/(2) Particles around Kerr Black Hole
• Spin precession in the strong deflection limit
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• Particles with precessing spin in Kerr spacetime: analytic solutions for eccentric orbits and homoclinic motion near the equatorial plane
• Effects of magnetic fields on spinning test particles orbiting Kerr-Bertotti-Robinson black holes
• Motion of spinning particles in the Kerr-Newman black hole exterior. I. Periodic orbits
• Geodesic deviation to all orders via a tangent bundle formalism
• The double copy as a doppelgänger
• Lagrangian Dynamics of Spinning Pole-Dipole-Quadrupole Particles in Metric-Affine Geometries
• Motion of spinning particles around a quantum-corrected black hole without Cauchy horizons
• On the Dynamics of Extended Bodies and the GravoThermo Memory Effect
• The Two Extended Bodies Problem in General Relativity within the\n post-Newtonian Approximation
• The Mathematics of the Spinning Particle Problem
• A modified Belinfante/Rosenfeld Procedure for Testing the Compatibility of General-Covariant Continuum Physics and General Relativity Theory
• Conservation Laws for Test Particles with Internal Structure

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• Equations of Motion of Spinning Relativistic Particles
• Test-Particle Motion in the Nonsymmetric Gravitational Theory
• Gravitational Radiation Reaction to a Particle Motion II: Spinning Particle
• Equations for spinning test particles in equatorial orbits when they are\n orbiting in a weak rotating field
• Motion of a spinning particle in curved space-time