scholarly journals Energy of homogeneous cosmologies

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
James M. Nester ◽  
Lau Loi So ◽  
T. Vargas
Keyword(s):  
Homogeneous Cosmologies

scholarly journals Two Bianchi type VIII spatially homogeneous cosmologies

1977 ◽  
Vol 52 (1) ◽  
pp. 1-10 ◽  
Author(s):  
J. G. Miller
Keyword(s):  
Bianchi Type ◽  
Type Viii ◽  
Spatially Homogeneous ◽  
Homogeneous Cosmologies

scholarly journals Towards Higher-Dimensional Homogeneous Cosmologies

1985 ◽  
Vol 74 (3) ◽  
pp. 490-500 ◽  
Author(s):  
H. Ishihara
Keyword(s):  
Higher Dimensional ◽  
Homogeneous Cosmologies

Exact spatially homogeneous cosmologies

1980 ◽  
Vol 12 (10) ◽  
pp. 805-823 ◽  
Author(s):  
C. B. Collins ◽  
E. N. Glass ◽  
D. A. Wilkinson
Keyword(s):  
Spatially Homogeneous ◽  
Homogeneous Cosmologies

scholarly journals MINISUPERSPACES: OBSERVABLES AND QUANTIZATION

1993 ◽  
Vol 02 (01) ◽  
pp. 15-50 ◽  
Author(s):  
ABHAY ASHTEKAR ◽  
RANJEET TATE ◽  
CLAES UGGLA
Keyword(s):  
Quantum Theory ◽  
Phase Space ◽  
Canonical Transformation ◽  
Parameter Family ◽  
Hamiltonian Constraint ◽  
Canonical Coordinates ◽  
Quantum Theories ◽  
Canonical Variables ◽  
Unitary Transformations ◽  
Homogeneous Cosmologies

A canonical transformation is performed on the phase space of a number of homogeneous cosmologies to simplify the form of the scalar (or Hamiltonian) constraint. Using the new canonical coordinates, it is then easy to obtain explicit expressions of Dirac observables, i.e. phase-space functions which commute weakly with the constraint. This, in turn, enables us to carry out a general quantization program to completion. We are also able to address the issue of time through “deparametrization” and discuss physical questions such as the fate of initial singularities in the quantum theory. We find that they persist in the quantum theory in spite of the fact that the evolution is implemented by a one-parameter family of unitary transformations. Finally, certain of these models admit conditional symmetries which are explicit already prior to the canonical transformation. These can be used to pass to the quantum theory following an independent avenue. The two quantum theories — based, respectively, on Dirac observables in the new canonical variables and conditional symmetries in the original ADM variables — are compared and shown to be equivalent.

Power law singularities in orthogonal spatially homogeneous cosmologies

1984 ◽  
Vol 16 (7) ◽  
pp. 657-674 ◽  
Author(s):  
J. Wainwright
Keyword(s):  
Power Law ◽  
Spatially Homogeneous ◽  
Homogeneous Cosmologies

Nonscalar singularities in spatially homogeneous cosmologies

1981 ◽  
Vol 13 (5) ◽  
pp. 433-441 ◽  
Author(s):  
S. T. C. Siklos
Keyword(s):  
Spatially Homogeneous ◽  
Homogeneous Cosmologies

scholarly journals SUPERSYMMETRIC QUANTUM COSMOLOGY FOR BIANCHI CLASS A MODELS

1998 ◽  
Vol 07 (05) ◽  
pp. 701-712 ◽  
Author(s):  
ALFREDO MACÍAS ◽  
ECKEHARD W. MIELKE ◽  
JOSÉ SOCORRO
Keyword(s):  
Wave Function ◽  
Quantum Cosmology ◽  
Rest Frame ◽  
Matrix Representation ◽  
Canonical Theory ◽  
Class A ◽  
Spatially Homogeneous ◽  
The Universe ◽  
Homogeneous Cosmologies

The canonical theory of [Formula: see text] supergravity, with a matrix representation for the gravitino covector–spinor, is applied to the Bianchi class A spatially homogeneous cosmologies. The full Lorentz constraint and its implications for the wave function of the universe are analyzed in detail. We found that in this model no physical states other than the trivial "rest frame" type occur.

scholarly journals Homogeneous cosmologies and the Maupertuis-Jacobi principle

2007 ◽  
Vol 75 (10) ◽  
Author(s):  
Luciana A. Elias ◽  
Alberto Saa
Keyword(s):  
Homogeneous Cosmologies

scholarly journals Homogeneous cosmologies as group field theory condensates

2014 ◽  
Vol 2014 (6) ◽  
Author(s):  
Steffen Gielen ◽  
Daniele Oriti ◽  
Lorenzo Sindoni
Keyword(s):  
Field Theory ◽  
Group Field Theory ◽  
Homogeneous Cosmologies
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