Gravitational waves in f(R) gravity excite monopole and m = 0±2 quadrupole resonance modes of a spherical detector. This document reviews the basic ideas of general relativity and gravitational waves, and then applies those concepts to an f( R) gravitational wave. The acoustic response of a GW incident with a spherical detector is reviewed in detail, and the absorption cross section for an f(R) GW impinging on the spherical detector is calculated. Minimum detectable scalar wave amplitudes are explored for the Mario Schenberg detector. The mass of the scalar mode affects its detectability.
|Advisor:||Dent, James B.|
|Commitee:||Morra, Gabriele, Sidorovskaia, Natalia A.|
|School:||University of Louisiana at Lafayette|
|School Location:||United States -- Louisiana|
|Source:||MAI 55/03M(E), Masters Abstracts International|
|Keywords:||F(r), General relativity, Gravitational waves, Spherical|
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