The general theory of porcupines, perfect and imperfect
Abstract
Porcupines are networks of gravitational wave detectors in which the detectors and the distances between them are short relative to the gravitational wavelengths of interest. Perfect porcupines are special configurations whose sensitivity to a gravitational plane wave is independent of the propagation direction or polarization of the wave. I develop the theory of porcupines, including the optimal estimator \hat{h}^{ij} for the gravitational wave field; useful formulae for the spinaveraged and rotationallyaveraged SNR^{2}; and a simple derivation of the properties of perfect porcupines. I apply these results to the interesting class of ``simple'' porcupines, and mention some open problems.
 Publication:

arXiv eprints
 Pub Date:
 August 2010
 arXiv:
 arXiv:1008.4997
 Bibcode:
 2010arXiv1008.4997B
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Extragalactic Astrophysics
 EPrint:
 v1: 4 pages, no figures