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 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.
| Original language | English |
|---|---|
| Pages (from-to) | 80-96 |
| Number of pages | 17 |
| Journal | Annals of Physics |
| Volume | 359 |
| DOIs | |
| Publication status | Published - 2015 Aug 1 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction. / Ita, Eyo Eyo; Soo, Cho-Pin.
In: Annals of Physics, Vol. 359, 01.08.2015, p. 80-96.Research output: Contribution to journal › Article
TY - JOUR
T1 - Exact solutions of the Wheeler-DeWitt equation and the Yamabe construction
AU - Ita, Eyo Eyo
AU - Soo, Cho-Pin
PY - 2015/8/1
Y1 - 2015/8/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84928655769&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84928655769&partnerID=8YFLogxK
U2 - 10.1016/j.aop.2015.04.016
DO - 10.1016/j.aop.2015.04.016
M3 - Article
AN - SCOPUS:84928655769
VL - 359
SP - 80
EP - 96
JO - Annals of Physics
JF - Annals of Physics
SN - 0003-4916
ER -