Ashtekar-wheeler-dewitt equation and inflationary scenario

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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.

Original languageEnglish
Title of host publicationThe Tenth Marcel Grossmann Meeting
Subtitle of host publicationOn Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories
PublisherWorld Scientific Publishing Co.
Pages2307-2309
Number of pages3
Volume3
ISBN (Electronic)9789812704030
ISBN (Print)9789812566676
DOIs
Publication statusPublished - 2006 Jan 1

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Soo, C. (2006). Ashtekar-wheeler-dewitt equation and inflationary scenario. In The Tenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (Vol. 3, pp. 2307-2309). World Scientific Publishing Co.. https://doi.org/10.1142/9789812704030_0323