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APS » Journals » Phys. Rev. D » Volume 59 » Issue 12
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Phys. Rev. D 59, 124004 (1999) [6 pages]

Analytic solutions of the Wheeler-DeWitt equation in spherically symmetric space-time

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Masakatsu Kenmoku1,*, Hiroto Kubotani2,†, Eiichi Takasugi3,‡, and Yuki Yamazaki4,§
1Department of Physics, Nara Women’s University, Nara 630-8506, Japan
2Faculty of Engineering, Kanagawa University, Yokohama 221, Japan
3Department of Physics, Osaka University, Osaka 560, Japan
4Graduate School of Human Culture, Nara Women’s University, Nara 630-8506, Japan

Received 21 October 1998; published 4 May 1999

The canonical quantum theory of Einstein gravity with a cosmological constant in spherically symmetric space-time is analyzed. A mass operator can be introduced as a dynamical variable due to spherically symmetry. The operator ordering in the Hamiltonian, the momentum, and the mass operator is properly fixed so that they form a closed algebra. In this scheme, we obtain the analytic solution which simultaneously satisfies the Wheeler-DeWitt equation, the momentum constraint, and the mass constraint.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.124004
DOI:
10.1103/PhysRevD.59.124004
PACS:
04.70.Dy, 04.20.Jb, 04.60.Ds

*Email address: kenmoku@cc.nara-wu.ac.jp

†Email address: kubotani@cpsun3.b6.kanagawa-u.ac.jp

‡Email address: takasugi@phys.wani.osaka-u.ac.jp

§Email address: yamazaki@phys.nara-wu.ac.jp

 
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