TIME IN THE SEMICLASSICAL APPROXIMATION TO QUANTUM GRAVITY COUPLED WITH A BACKGROUND SCALAR FIELD AND KALUZA-KLEIN THEORY
1995 ◽
Vol 10
(13)
◽
pp. 1905-1915
Keyword(s):
We consider the semiclassical approximation to quantum gravity coupled with a background scalar field and a quantum matter field. We define the semiclassical time variable and write down the Schrödinger equation for the quantum matter field. This can be rewritten into the form whose time variable is the original time coordinate, when the relation of Hamilton-Jacobi holds. It is shown that the four-dimensional semiclassical time with a background scalar field is related to the five-dimensional semiclassical time without it by means of the Kaluza-Klein dimensional reduction.
1995 ◽
Vol 10
(16)
◽
pp. 2317-2332
Keyword(s):
1997 ◽
Vol 12
(05)
◽
pp. 859-871
Keyword(s):
2020 ◽
Vol 35
(02n03)
◽
pp. 2040027
Keyword(s):
2005 ◽
Vol 14
(07)
◽
pp. 1195-1231
◽
Keyword(s):
2008 ◽
Vol 17
(02)
◽
pp. 237-256
◽
Keyword(s):
1992 ◽
Vol 07
(21)
◽
pp. 5105-5113
◽
Keyword(s):
2005 ◽
Vol 20
(05)
◽
pp. 345-353
◽
Keyword(s):
2017 ◽
Vol 10
(2)
◽
pp. 351