ISSN:
1572-9532
Keywords:
quantum Cosmology
;
Quantum Gravity
;
Time
;
Minisuperspace
;
Wavefunction of the Universe PACS No. - 04.60, 98.80 Hw
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We start from the classical Hamiltonian constraint of general relativity to obtain the Einstein–Hamiltonian–Jacobi equation. We obtain a time parameter prescription demanding that geometry itself determines the time, not the matter field, such that the time so defined being equivalent to the time that enters into the Schrödinger equation. Using a semiclassical approximation we obtain an equation for quantum gravity in Schrödinger form containing time. We restrict ourselves to a minisuperspace description. Unlike matter field equation our equation is equivalent to the Wheeler–DeWitt equation in the sense that our solutions reproduce also the wavefunction of the Wheeler–DeWitt equation provided one evaluates the normalization constant according to the wormhole dominance proposal recently proposed by us.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1001902620253
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