Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-07-30
Phys.Rev.D57:2051-2060,1998
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages 11 figures, submitted to the Physical Review D
Scientific paper
10.1103/PhysRevD.57.2051
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 (about 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.
Coccia Eugenio
Fafone Viviana
Frossati Giorgio
Lobo Alberto J.
Ortega Jose Angel
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