Relativistic dynamics of cylindrical shells of counter-rotating particles
arXiv:0709.1933 · doi:10.1007/s10714-009-0794-x
Abstract
Although infinite cylinders are not astrophysical entities, it is possible to learn a great deal about the basic qualitative features of generation of gravitational waves and the behavior of the matter conforming such shells in the limits of very small radius. We describe the analytical model using kinetic theory for the matter and the junction conditions through the shell to obtain its equation of motion. The nature of the static solutions are analyzed, both for a single shell as well as for two concentric shells. In this second case, for a time dependent external shell, we integrate numerically the equation of motion for several values of the constants of the system. Also, a brief description in terms of the Komar mass is given to account for the gravitational wave energy emitted by the system.
19 pages, 8 figures
References in corpus (2)
Cited by in corpus (3)
- The effect of radiative gravitational modes on the dynamics of a cylindrical shell of counter rotating particles
- Perturbative evolution of the static configurations, quasinormal modes and quasi normal ringing in the Apostolatos - Thorne cylindrical shell model
- On the evolution of the momentarily static radiation free data in the Apostolatos - Thorne cylindrical shell model