Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems - INSPIRE

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Loop quantum cosmology of diagonal Bianchi type I model: Simplifications and scaling problems

Lukasz Szulc
(
- Warsaw U.
)

Mar, 2008

10 pages

Published in:

Phys.Rev.D 78 (2008) 064035

e-Print:

0803.3559 [gr-qc]

DOI:

10.1103/PhysRevD.78.064035

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Abstract: (arXiv)

A simplified theory of diagonal Bianchi type I model coupled with a massless scalar field in Loop Quantum Cosmology is constructed. The quantum constraint operator and physical sector are under good analytical control. The problem of finding semi-classical states is reduced to the following one: how to compute an ordinary, continuous, three-dimensional Fourier Transform with an amplitude given analytically? Moreover, the evolution of the three gravitational degrees of freedom is numerically shown to be non-singular.

98.80.Qc
04.60.Pp
04.60.Kz
quantum cosmology: loop space
operator: constraint
field theory: scalar
massless
space-time: Bianchi
dispersion
Fourier transformation

References(20)

Figures(12)

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