### 摘要

Ashtekar-Wheeler-DeWitt Equation for quantized coupled gravitational and scalar fields is considered, together with its expansion in terms of a dimensionless parameter which is the ratio of the "typical" total potential energy density to the Planck energy density. Conditions favourable to the inflationary scenario are derived, and the correspondence between inflationary states and perturbations of the exact Chern-Simons State for quantum gravity in 4-dimensions are discussed. If certain conditions are satisfied, the Ashtekar-Wheeler-DeWitt equation reduces to a Schrodinger Equation which describes quantized scalar field which evolves with respect to a Schwinger-Tomonaga time which increases with the volume of the universe in an inflationary universe with approximate de Sitter metric.

原文 | English |
---|---|

主出版物標題 | The Tenth Marcel Grossmann Meeting |

主出版物子標題 | On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories |

發行者 | World Scientific Publishing Co. |

頁面 | 2307-2309 |

頁數 | 3 |

卷 | 3 |

ISBN（電子） | 9789812704030 |

ISBN（列印） | 9789812566676 |

DOIs | |

出版狀態 | Published - 2006 一月 1 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### 引用此文

*The Tenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories*(卷 3, 頁 2307-2309). World Scientific Publishing Co.. https://doi.org/10.1142/9789812704030_0323

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*The Tenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories.*卷 3, World Scientific Publishing Co., 頁 2307-2309. https://doi.org/10.1142/9789812704030_0323

**Ashtekar-wheeler-dewitt equation and inflationary scenario.** / Soo, Chopin.

研究成果: Chapter

TY - CHAP

T1 - Ashtekar-wheeler-dewitt equation and inflationary scenario

AU - Soo, Chopin

PY - 2006/1/1

Y1 - 2006/1/1

N2 - Ashtekar-Wheeler-DeWitt Equation for quantized coupled gravitational and scalar fields is considered, together with its expansion in terms of a dimensionless parameter which is the ratio of the "typical" total potential energy density to the Planck energy density. Conditions favourable to the inflationary scenario are derived, and the correspondence between inflationary states and perturbations of the exact Chern-Simons State for quantum gravity in 4-dimensions are discussed. If certain conditions are satisfied, the Ashtekar-Wheeler-DeWitt equation reduces to a Schrodinger Equation which describes quantized scalar field which evolves with respect to a Schwinger-Tomonaga time which increases with the volume of the universe in an inflationary universe with approximate de Sitter metric.

AB - Ashtekar-Wheeler-DeWitt Equation for quantized coupled gravitational and scalar fields is considered, together with its expansion in terms of a dimensionless parameter which is the ratio of the "typical" total potential energy density to the Planck energy density. Conditions favourable to the inflationary scenario are derived, and the correspondence between inflationary states and perturbations of the exact Chern-Simons State for quantum gravity in 4-dimensions are discussed. If certain conditions are satisfied, the Ashtekar-Wheeler-DeWitt equation reduces to a Schrodinger Equation which describes quantized scalar field which evolves with respect to a Schwinger-Tomonaga time which increases with the volume of the universe in an inflationary universe with approximate de Sitter metric.

UR - http://www.scopus.com/inward/record.url?scp=84990012117&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84990012117&partnerID=8YFLogxK

U2 - 10.1142/9789812704030_0323

DO - 10.1142/9789812704030_0323

M3 - Chapter

AN - SCOPUS:84990012117

SN - 9789812566676

VL - 3

SP - 2307

EP - 2309

BT - The Tenth Marcel Grossmann Meeting

PB - World Scientific Publishing Co.

ER -