The multiple-resonator problem in a spherical GW antenna: Its general solution and new interesting layouts

This paper is intended to be a brief sketch of the main results which derive from a full theoretical implementation of the problem of how a set of mechanical resonators couples to an elastic sphere, excited by an incoming Gravitational Wave. The analysis reveals with remarkable transparency the general structure of the resonant mode splitting and coupling, and enables the discussion of interesting alternatives to the truncated icosahedron layout. A specific proposal for a rather complete monopole-quadrupole GW radiation detector is also made.