Quadrupole effects on the motion of extended bodies in Schwarzschild spacetime

Details Quadrupole effects on the motion of extended bodies in Schwarzschild spacetime Quadrupole effects on the motion of extended bodies in Schwarzschild spacetime

2009-10-15

arxiv.org/abs/0910.2841v1

Class.Quant.Grav.25:035005,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, latex iopart class document, no figures. Note that the second term in the rhs of Eq. (1.2) was misprinted in the publ

Scientific paper

10.1088/0264-9381/25/3/035005

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.

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