M Kenmoku et al 2002 Class. Quantum Grav. 19 799 doi:10.1088/0264-9381/19/4/311
M Kenmoku1, T Matsuyama2, R Sato3 and S Uchida4
Show affiliationsWe have studied classical and quantum solutions of (2+1)-dimensional Einstein gravity theory. Quantum theory is defined through the local conserved angular momentum and mass operators in the case of spherically symmetric spacetime. The de Broglie–Bohm interpretation is applied to the wavefunction and we derive the differential equations for the metric. By solving these equations, we obtain the quantum effect for the metric and compare them with the classical metric. In particular, the quantum effect on the metric for the closed de Sitter universe is estimated quantitatively.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories
Issue 4 (21 February 2002)
Received 10 September 2001, in final form 7 December 2001
Published 6 February 2002
M Kenmoku et al 2002 Class. Quantum Grav. 19 799
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