Hollow sphere as a detector of gravitational radiation

The most important features of the proposed spherical gravitational wave detectors are closely linked with their symmetry. Hollow spheres share this property with solid ones, considered in the literature so far, and constitute an interesting alternative for the realization of an omnidirectional grav...

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Detalhes bibliográficos
Autores: Coccia, E. (Eugenio), Fafone, V., Frossati, G., Lobo Gutiérrez, José Alberto, 1953-, Ortega, José A.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1998
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/12314
Acesso em linha:https://hdl.handle.net/2445/12314
Access Level:acceso abierto
Palavra-chave:General relativity (Physics)
Ones gravitacionals
Relativitat general (Física)
Gravitational waves
Descrição
Resumo:The most important features of the proposed spherical gravitational wave detectors are closely linked with their symmetry. Hollow spheres share this property with solid ones, considered in the literature so far, and constitute an interesting alternative for the realization of an omnidirectional gravitational wave detector. In this paper we address the problem of how a hollow elastic sphere interacts with an incoming gravitational wave and find an analytical solution for its normal mode spectrum and response, as well as for its energy absorption cross sections. It appears that this shape can be designed having relatively low resonance frequencies (~ 200 Hz) yet keeping a large cross section, so its frequency range overlaps with the projected large interferometers. We also apply the obtained results to discuss the performance of a hollow sphere as a detector for a variety of gravitational wave signals.