Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction

Eyo Eyo Ita, Cho-Pin Soo

研究成果: Article

1 引文 (Scopus)

摘要

Exact solutions of the Wheeler-DeWitt equation of the full theory of four dimensional gravity of Lorentzian signature are obtained. They are characterized by Schrödinger 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.

原文English
頁(從 - 到)80-96
頁數17
期刊Annals of Physics
359
DOIs
出版狀態Published - 2015 八月 1

指紋

regulators
gauge invariance
Hilbert space
degrees of freedom
curvature
signatures
gravitation
scalars

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

引用此文

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Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction. / Ita, Eyo Eyo; Soo, Cho-Pin.

於: Annals of Physics, 卷 359, 01.08.2015, p. 80-96.

研究成果: Article

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AB - Exact solutions of the Wheeler-DeWitt equation of the full theory of four dimensional gravity of Lorentzian signature are obtained. They are characterized by Schrödinger 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.

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