Effect of radiative gravitational modes on the dynamics of a cylindrical shell of counterrotating particles

dc.creatorGleiser, Reinaldo Jaime
dc.creatorRamirez, Marcos Ariel
dc.date2012-02
dc.date.accessioned2023-08-31T00:16:54Z
dc.date.available2023-08-31T00:16:54Z
dc.identifierhttp://hdl.handle.net/11336/198117
dc.identifierGleiser, Reinaldo Jaime; Ramirez, Marcos Ariel; Effect of radiative gravitational modes on the dynamics of a cylindrical shell of counterrotating particles; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 85; 4; 2-2012; 1-12
dc.identifier0556-2821
dc.identifier1550-7998
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8543277
dc.descriptionIn this paper we consider some aspects of the relativistic dynamics of a cylindrical shell of counterrotating particles. In some sense these are the simplest systems with a physically acceptable matter content that display in a well-defined sense an interaction with the radiative modes of the gravitational field. These systems have been analyzed previously, but in most cases resorting to approximations, or considering a particular form for the initial value data. Here we show that there exists a family of solutions where the space time inside the shell is flat and the equation of motion of the shell decouples completely from the gravitational modes. The motion of the shell is governed by an equation of the same form as that of a particle in a time-independent one-dimensional potential. We find that under appropriate initial conditions one can have collapsing, bounded periodic, and unbounded motions. We analyze and solve also the linearized equations that describe the dynamics of the system near a stable static solutions, keeping a regular interior. The surprising result here is that the motion of the shell is completely determined by the configuration of the radiative modes of the gravitational field. In particular, there are oscillating solutions for any chosen period, in contrast with the "approximately Newtonian plus small radiative corrections" motion expectation. We comment on the physical meaning of these results and provide some explicit examples. We also discuss the relation of our results to the initial value problem for the linearized dynamics of the shell.
dc.descriptionFil: Gleiser, Reinaldo Jaime. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
dc.descriptionFil: Ramirez, Marcos Ariel. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
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dc.formatapplication/pdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherAmerican Physical Society
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.85.044026
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subjectExcat solutions
dc.subjectCylindrical shells
dc.subjecthttps://purl.org/becyt/ford/1.3
dc.subjecthttps://purl.org/becyt/ford/1
dc.titleEffect of radiative gravitational modes on the dynamics of a cylindrical shell of counterrotating particles
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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