The LQC evolution operator of FRW universe with positive cosmological constant - INSPIRE

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The LQC evolution operator of FRW universe with positive cosmological constant

Wojciech Kaminski
(
- Warsaw U.
)
,
Tomasz Pawlowski
(
- Madrid, Inst. Estructura Materia and
- Warsaw U.
)

Dec, 2009

8 pages

Published in:

Phys.Rev.D 81 (2010) 024014

e-Print:

0912.0162 [gr-qc]

DOI:

10.1103/PhysRevD.81.024014

View in:

ADS Abstract Service

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Abstract: (arXiv)

The self-adjointness of an evolution operator

\Theta_{\Lambda}

corresponding to the model of flat FRW universe with massless scalar field and cosmological constant quantized in the framework of Loop Quantum Cosmology is studied in the case

\Lambda>0

. It is shown, that for \Lambda<\Lambda_c\approx 10.3 \lPl^{-2} the operator admits many self-adjoint extensions, each of the purely discrete spectrum. On the other hand for

\Lambda\geq\Lambda_c

the operator is essentially self-adjoint, however the physical Hilbert space of the model does not contain any physically interesting states.

98.80.Qc
04.60.Pp
04.60.Kz
quantum gravity: loop space
Friedman model
field theory: scalar
cosmological constant

References(32)

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