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Minisuperspace, matter and time

G Venturi

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From the equation describing quantum gravity in the presence of matter for the case of scalar fields minimally coupled to a Friedman-Robertson-Walker spacetime, coupled equations describing gravitation and matter are obtained. The introduction of time and the approximations and constraints involved in order to obtain the correct Einstein equation in the presence of matter are illustrated. The introduction of time for the matter equations and their validity are also discussed together with the classical limit for the scalar fields. A consistent scheme is obtained in which time arises in the semiclassical limit for gravitation and matter follows gravitation adiabatically in analogy with other composite systems, such as molecules, having two time (or mass) scales.


PACS

04.60.Kz Lower dimensional models; minisuperspace models

MSC

83Cxx General relativity

Subjects

Gravitation and cosmology

Dates

Issue 6 (June 1990)



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