Influence of internal structure on the motion of test bodies in extreme mass ratio situations

2012/05/31 by Jan Steinhoff, Dirk Puetzfeld · 84 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Circular motion #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Context (archaeology) #Dipole #General relativity #Geology #Gravitation #Introduction to the mathematics of general relativity #Motion (physics) #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quadrupole #Quantum mechanics #Theory of relativity #Two-body problem in general relativity #astro-ph.GA #astro-ph.HE #gr-qc

paper · pdf · doi:10.1103/physrevd.86.044033

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 86(4) (American Physical Society) · 23 pages, 6 figures, RevTex format

openalex publication_date 2012/08/20 · arxiv created 2013/07/09 · arxiv updated 2013/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the motion of test bodies with internal structure in general relativity. We utilize a multipolar approximation scheme along the lines of Mathisson-Papapetrou-Dixon including the quadrupolar order. The motion of pole-dipole and quadrupole test bodies is studied in the context of the Kerr geometry. For an explicit quadrupole model, which includes spin and tidal interactions, the motion in the equatorial plane is characterized by an effective potential and by the binding energy. We compare our findings to recent results for the conservative part of the self-force of bodies in extreme mass ratio situations. Possible implications for gravitational wave physics are outlined.

Citations

• xPerm: fast index canonicalization for tensor computer algebra
• Quadrupole Moments of Rotating Neutron Stars
• Second-order gravitational self-force
• Quadrupole effects on the motion of extended bodies in Kerr spacetime
• Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem
• Next-to-leading-order spin–orbit effects in the motion of inspiralling compact binaries
• Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries
• Multipolar equations of motion for extended test bodies in general relativity
• The reduced Hamiltonian for next-to-leading-order spin-squared dynamics of general compact binaries
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Spinning test-particles in general relativity. I
• The gravitational interaction: Spin, rotation, and quantum effects-a review
• Dimensional regularization of the gravitational interaction of point masses
• Comment on two recent papers regarding next-to-leading order spin-spin effects in gravitational interaction
• Higher-order spin effects in the dynamics of compact binaries. I. Equations of motion
• Quadrupole effects on the motion of extended bodies in Schwarzschild spacetime
• Dissipative effects in the worldline approach to black hole dynamics
• Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
• Tidal interaction of a small black hole in the field of a large Kerr black hole
• ADM canonical formalism for gravitating spinning objects
• Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part