Multipole particle in relativity
Akira Ohashi
Abstract
We discuss the motion of extended objects in a spacetime by considering a gravitational field created by these objects. We define multipole moments of the objects as a classification by Lie group SO(3). Then, we construct an energy-momentum tensor for the objects and derive equations of motion from it. As a result, we reproduce the Papapetrou equations for a spinning particle. Furthermore, we will show that we can obtain more simple equations than the Papapetrou equations by changing the center-of-mass.
Create a lesson
Related papers
Spin-network states for the Bianchi I and IX cosmological models from quantum constrained symmetries
Matteo Bruno, Giovanni Montani, Edoardo Maria Panno
Entropy, area, and the choice of regulator during gravitational collapse
Jana N. Guenther, Christian Hoelbling, Sophie Mutzel et al.
On the Extended Kerr-Newman-Bertotti-Robinson Spacetime: Two Black Holes and a Naked Singularity in Bertotti-Robinson Universe
Yu-Sen Zhou, Wen-Tao Fu, Li-Ming Cao et al.
The return of Palatini inflationary attractors: Universal mapping of observables
Christian Dioguardi, Francesco Gianesello, Antonio Racioppi
Gravity from Invariant Weyl-Integrable space-time (IWIST)
José Edgar Madriz Aguilar, A. Bernal, M. Montes et al.
Quasinormal modes of Schwarzschild--AdS black holes with a near-horizon reflective surface
Libo Xie, Liang-Bi Wu, Yu-Sen Zhou et al.