English

Dynamics of extended bodies in a Kerr spacetime with spin-induced quadrupole tensor

General Relativity and Quantum Cosmology 2015-07-28 v1

Abstract

The features of equatorial motion of an extended body in Kerr spacetime are investigated in the framework of the Mathisson-Papapetrou-Dixon model. The body is assumed to stay at quasi-equilibrium and respond instantly to external perturbations. Besides the mass, it is completely determined by its spin, the multipolar expansion being truncated at the quadrupole order, with a spin-induced quadrupole tensor. The study of the radial effective potential allows to analytically determine the ISCO shift due to spin and the associated frequency of the last circular orbit.

Keywords

Cite

@article{arxiv.1507.07441,
  title  = {Dynamics of extended bodies in a Kerr spacetime with spin-induced quadrupole tensor},
  author = {Donato Bini and Guillaume Faye and Andrea Geralico},
  journal= {arXiv preprint arXiv:1507.07441},
  year   = {2015}
}

Comments

27 pages, 6 figures, revtex style