Carter-like constants of the motion in Newtonian gravity and electrodynamics
| dc.creator | Will, Clifford M. | |
| dc.date | 2008-11-29 | |
| dc.date.accessioned | 2026-07-07T12:47:00Z | |
| dc.date.available | 2026-07-07T12:47:00Z | |
| dc.description | For a test body orbiting an axisymmetric body in Newtonian gravitational theory with multipole moments Q_L, (and for a charge in a non-relativistic orbit about a charge distribution with the same multipole moments) we show that there exists, in addition to the energy and angular momentum component along the symmetry axis, a conserved quantity analogous to the Carter constant of Kerr spacetimes in general relativity, if the odd-L moments vanish, and the even-L moments satisfy Q_2L = m (Q_2/m)^L. Strangely, this is precisely the relation among mass moments enforced by the no-hair theorems of rotating black holes. By contrast, if Newtonian gravity is supplemented by a multipolar gravitomagnetic field, whose leading term represents frame-dragging (or if the electrostatic field is supplemented by a multipolar magnetic field), we are unable to find an analogous Carter-like constant. This further highlights the very special nature of the Kerr geometry of general relativity. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/0812.0110 | |
| dc.identifier | http://arxiv.org/abs/0812.0110 | |
| dc.identifier | Phys.Rev.Lett.102:061101,2009 | |
| dc.identifier | doi:10.1103/PhysRevLett.102.061101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221572 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Carter-like constants of the motion in Newtonian gravity and electrodynamics | |
| dc.type | text |