Conformal Killing vector fields and a virial theorem
Mathematical Physics
2016-08-10 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
The virial theorem is formulated both intrinsically and in local coordinates for a Lagrangian system of mechanical type on a Riemann manifold. An import case studied in this paper is that of an affine virial function associated to a vector field on the configuration manifold. The special cases of a virial function associated to a Killing, a homothetic and a conformal Killing vector field are considered and the corresponding virial theorems are established for this type of functions.
Cite
@article{arxiv.1410.2032,
title = {Conformal Killing vector fields and a virial theorem},
author = {José F. Cariñena and Irina Gheorghiu and Eduardo Martínez and Patrícia Santos},
journal= {arXiv preprint arXiv:1410.2032},
year = {2016}
}
Comments
21 pages, to appear in J. Phys. A