domain
instability
geodesic flow
minisuperspace
1991-12
Using Morse's theory of reconstructions we define the space of all the universes-the Superspace. On the Superspace we investigate the geometry of the DeWitt metric. It is shown that the geodesic flow corresponding to the DeWitt metric is exponentially instable. The dynamical system described by the Einstein equations of evolution (Einstein dynamics) has the same type of instability also, if 1) the Universe is inflationary in some local domain, 2) in some local domain the Universe does not change its volume, but changes the conformal geometry very quickly as compared with the conformal potnetial. So, the Einstein dynamics is unstable on the Superspace, therefore the following quantum theory considered on the minisuperspace (a submanifold of the Superspace with a finite dimension) says nothing about the “real” quantum theory on the Superspace, and in the Superspace the semiclassical approximation is close to the quantum approximation only during a short time.
metrics
DeWitt metric
conformal geometry
article
reconstruction
https://doi.org/10.1007/bf02100284
Morse theory
potnetial
semiclassical approximation
time
Einstein dynamics
false
Instability in superspace
types
dynamics
articles
2022-01-01T18:05
dynamical systems
volume
equations
quantum theory
same type
short time
flow
system
universe
Einstein equations
conformal potnetial
local domain
https://scigraph.springernature.com/explorer/license/
geometry
space
theory
quantum approximation
1991-12-01
en
27-42
evolution
approximation
superspace
ICRA-International Center for Relativistic Astrophysics, Department of Physics, University of Rome “La Sapienza”, Rome, Italy
ICRA-International Center for Relativistic Astrophysics, Department of Physics, University of Rome “La Sapienza”, Rome, Italy
Department of Theoretical Physics, Yerevan Physics Institute, Alikhanian Brothers St. 2, SU-375036, Yerevan, Armenia, USSR
Physical Sciences
1
Kocharyan
A. A.
Quantum Physics
Communications in Mathematical Physics
0010-3616
Springer Nature
1432-0916
Pure Mathematics
Springer Nature - SN SciGraph project
10.1007/bf02100284
doi
dimensions_id
pub.1016744068
143
Mathematical Sciences