skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Inflationary quantum cosmology: General framework and exact Bianchi type I solution

Abstract

Using the methods of loop quantum gravity, we derive a framework for describing an inflationary, homogeneous universe in a purely quantum theory. The classical model is formulated in terms of the Ashtekar-Sen connection variables for a general subclass of Bianchi class A spacetimes. This formulation then provides a means to develop a corresponding quantum theory. An exact solution is derived for the classical Bianchi type I model and the corresponding semiclassical quantum state is found to also be an exact solution to the quantum theory. The development of a normalizable quantum state from this exact solution is presented and the implications for the normalizability of the Kodama state discussed. We briefly consider some consequences of such a quantum cosmological framework and show that the quantum scale factor of the universe has a continuous spectrum in this model. This result may suggest further modifications that are required to build a more accurate theory. We close this study by suggesting a variety of directions in which to take the results presented.

Authors:
 [1]
  1. Perimeter Institute for Theoretical Physics, Waterloo (Canada)
Publication Date:
OSTI Identifier:
20705510
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.70.084040; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; EXACT SOLUTIONS; QUANTUM GRAVITY; SEMICLASSICAL APPROXIMATION; SPACE-TIME; UNIVERSE

Citation Formats

Malecki, Justin. Inflationary quantum cosmology: General framework and exact Bianchi type I solution. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.084040.
Malecki, Justin. Inflationary quantum cosmology: General framework and exact Bianchi type I solution. United States. doi:10.1103/PhysRevD.70.084040.
Malecki, Justin. Fri . "Inflationary quantum cosmology: General framework and exact Bianchi type I solution". United States. doi:10.1103/PhysRevD.70.084040.
@article{osti_20705510,
title = {Inflationary quantum cosmology: General framework and exact Bianchi type I solution},
author = {Malecki, Justin},
abstractNote = {Using the methods of loop quantum gravity, we derive a framework for describing an inflationary, homogeneous universe in a purely quantum theory. The classical model is formulated in terms of the Ashtekar-Sen connection variables for a general subclass of Bianchi class A spacetimes. This formulation then provides a means to develop a corresponding quantum theory. An exact solution is derived for the classical Bianchi type I model and the corresponding semiclassical quantum state is found to also be an exact solution to the quantum theory. The development of a normalizable quantum state from this exact solution is presented and the implications for the normalizability of the Kodama state discussed. We briefly consider some consequences of such a quantum cosmological framework and show that the quantum scale factor of the universe has a continuous spectrum in this model. This result may suggest further modifications that are required to build a more accurate theory. We close this study by suggesting a variety of directions in which to take the results presented.},
doi = {10.1103/PhysRevD.70.084040},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 70,
place = {United States},
year = {2004},
month = {10}
}