Quadrupole effects on the motion of extended bodies in Schwarzschild spacetime

Abstract

The motion of an extended body up to the quadrupolar structure is studied in the Schwarzschild background following Dixon's model and within certain restrictions (constant frame components for the spin and the quadrupole tensor, center of mass moving along a circular orbit, etc.). We find a number of interesting situations in which deviations from the geodesic motion, due to the internal structure of the particle, can originate measurable effects. However, the standard clock-effect for a pair co/counter-rotating bodies spinning up/down is not modified by the quadrupolar structure of the particle.

arXiv comment9 pages, latex iopart class document, no figures. Note that the second term in the rhs of Eq. (1.2) was misprinted in the published version of the paper [Classical and Quantum Gravity, Vol. 25, 035005 (2008)]. The results are but correct

References in corpus (6)

• A Double-Pulsar System - A Rare Laboratory for Relativistic Gravity and Plasma Physics
• Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre
• An Overabundance of Transient X-ray Binaries within 1 pc of the Galactic Center
• The intrinsic derivative and centrifugal forces in general relativity: II. Applications to circular orbits in some familiar stationary axisymmetric spacetimes
• The intrinsic derivative and centrifugal forces in general relativity: I. Theoretical foundations
• Spinning test particles and clock effect in Schwarzschild spacetime

Cited by in corpus (11)

• Influence of internal structure on the motion of test bodies in extreme mass ratio situations
• Mechanics of extended masses in general relativity
• Self-forces from generalized Killing fields
• Electromagnetic self-forces and generalized Killing fields
• Dynamics of quadrupolar bodies in a Schwarzschild spacetime
• Quadrupole effects on the motion of extended bodies in Kerr spacetime
• Extended-body motion in black hole spacetimes: What is possible?
• Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole
• Dixon's extended bodies and weak gravitational waves
• Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity
• Extended bodies with quadrupole moment interacting with gravitational monopoles: reciprocity relations