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Quadrupole effects on the motion of extended bodies in Schwarzschild spacetime

2008/01/14 by Donato Bini, P. Fortini, Pierluigi Fortini +3 · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Experimental and Theoretical Physics Studies #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1088/0264-9381/25/3/035005

published as Class.Quant.Grav.25:035005,2008 · 9 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

openalex publication_date 2008/01/14 · arxiv created 2009/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 of co/counter-rotating bodies spinning up/down is not modified by the quadrupolar structure of the particle.

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