TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.6.226
TI  - Generalized Carter constant for quadrupolar test bodies in Kerr spacetime
PY  - 2023/12/06
UR  - https://www.scipost.org/SciPostPhys.15.6.226
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 6
SP  - 226
A1  - Compère, Geoffrey
AU  - Druart, Adrien
AU  - Vines, Justin
AB  - We establish the existence of a deformation of the usual Carter constant which is conserved along the motion in a fixed Kerr background of a spinning test body possessing the spin-induced quadrupole coupling of a black hole. The conservation holds perturbatively up to second order in the test body's spin. This constant of motion is obtained through the explicit resolution of the conservation constraint equations, employing covariant algebraic and differential relations amongst covariant building blocks of the Kerr background. For generic spin-induced quadrupole couplings, which describe compact objects such as neutron stars, we obtain a no-go result on the existence of such a conserved quantity.
ER  -

@Article{10.21468/SciPostPhys.15.6.226,
	title={{Generalized Carter constant for quadrupolar test bodies in Kerr spacetime}},
	author={Geoffrey Compère and Adrien Druart and Justin Vines},
	journal={SciPost Phys.},
	volume={15},
	pages={226},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.6.226},
	url={https://scipost.org/10.21468/SciPostPhys.15.6.226},
}