@article{d671a1aa20bb458584f953808305b957,
title = "Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction",
abstract = "Exact solutions of the Wheeler-DeWitt equation of the full theory of four dimensional gravity of Lorentzian signature are obtained. They are characterized by Schr{\"o}dinger wavefunctionals having support on 3-metrics of constant spatial scalar curvature, and thus contain two full physical field degrees of freedom in accordance with the Yamabe construction. These solutions are moreover Gaussians of minimum uncertainty and they are naturally associated with a rigged Hilbert space. In addition, in the limit the regulator is removed, exact 3-dimensional diffeomorphism and local gauge invariance of the solutions are recovered.",
author = "Ita, {Eyo Eyo} and Chopin Soo",
note = "Funding Information: The authors are grateful to Chou Ching-Yi for her analysis, checking and contributions to some of the various versions of the draft during certain stages of its development. She has made some notable contributions leading to the final form of the document. This work has been supported in part by the Office of Naval Research under Grant No. N-000-1414-WX-20789 , and in part by Perimeter Institute for Theoretical Physics (research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Economic Development and Innovation); and also supported in part by the National Science Council of Taiwan under Grant No. NSC101-2112-M-006-007-MY3 , and the National Center for Theoretical Sciences , Taiwan. And finally but not least of all, the authors would like to thank Lee Smolin for doing a critical read of the manuscript, along with his helpful suggestions and insights. Publisher Copyright: {\textcopyright} 2015.",
year = "2015",
month = aug,
day = "1",
doi = "10.1016/j.aop.2015.04.016",
language = "English",
volume = "359",
pages = "80--96",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press Inc.",
}