Conformal Killing vector fields and a virial theorem

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.

21 pages, to appear in J. Phys. A

References in corpus (2)

• Conformally related metrics and Lagrangians and their physical interpretation in cosmology
• Virial theorem in quasi-coordinates and Lie algebroid formalism

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