IFEG   20353
INSTITUTO DE FISICA ENRIQUE GAVIOLA
Unidad Ejecutora - UE
artículos
Título:
On the dynamics of thin shells of counter-rotating
Autor/es:
REINALDO J. GLEISER Y MARCOS A. RAMIREZ
Revista:
CLASSICAL AND QUANTUM GRAVITY
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2009 vol. 26 p. 45006 - 45029
ISSN:
0264-9381
Resumen:
In this paper, we study the dynamics of self-gravitating spherically symmetric
thin shells of counter-rotating particles. We consider all possible velocity
distributions for the particles, and show that the equations of motion by
themselves do not constrain this distribution. We therefore consider the
dynamical stability of the resulting configurations under several possible
processes. This includes the stability of static configurations as a whole,
where we find a lower bound for the compactness of the shells. We analyze
also the stability of the single-particle orbits, and find conditions for singleparticle
evaporation. Finally, in the case of a shellwith particleswhose angular
momenta are restricted to two values, we consider the conditions for stability
under splitting into two separate shells. This analysis leads to the conclusion
that under certain conditions that are given explicitly, an evolving shellmay split
into two or more separate shells. We provide explicit examples to illustrate this
phenomenon. We also include a derivation of the thick-to-thin shell limit for
an Einstein shell that shows that the limiting distribution of angular momenta
is unique, covering continuously a finite range of values.