The quantum cosmological wavefunction at very early times for a quadratic gravity theory

The quantum cosmological wavefunction for a quadratic gravity theory derived from the heterotic string effective action is obtained near the inflationary epoch and during the initial Planck era. Neglecting derivatives with respect to the scalar field, the wavefunction would satisfy a third-order dif...

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Main Author:	Davis, Simon
Format:	Others
Language:	English
Published:	Universität Potsdam 2003
Subjects:	Mathematics
Online Access:	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26520 http://opus.kobv.de/ubp/volltexte/2008/2652/

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spelling	ndltd-Potsdam-oai-kobv.de-opus-ubp-26522013-01-08T00:55:06Z The quantum cosmological wavefunction at very early times for a quadratic gravity theory Davis, Simon Mathematics The quantum cosmological wavefunction for a quadratic gravity theory derived from the heterotic string effective action is obtained near the inflationary epoch and during the initial Planck era. Neglecting derivatives with respect to the scalar field, the wavefunction would satisfy a third-order differential equation near the inflationary epoch which has a solution that is singular in the scale factor limit a(t) → 0. When scalar field derivatives are included, a sixth-order differential equation is obtained for the wavefunction and the solution by Mellin transform is regular in the a → 0 limit. It follows that inclusion of the scalar field in the quadratic gravity action is necessary for consistency of the quantum cosmology of the theory at very early times. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2003 Preprint application/pdf urn:nbn:de:kobv:517-opus-26520 http://opus.kobv.de/ubp/volltexte/2008/2652/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Davis, Simon The quantum cosmological wavefunction at very early times for a quadratic gravity theory
description	The quantum cosmological wavefunction for a quadratic gravity theory derived from the heterotic string effective action is obtained near the inflationary epoch and during the initial Planck era. Neglecting derivatives with respect to the scalar field, the wavefunction would satisfy a third-order differential equation near the inflationary epoch which has a solution that is singular in the scale factor limit a(t) → 0. When scalar field derivatives are included, a sixth-order differential equation is obtained for the wavefunction and the solution by Mellin transform is regular in the a → 0 limit. It follows that inclusion of the scalar field in the quadratic gravity action is necessary for consistency of the quantum cosmology of the theory at very early times.
author	Davis, Simon
author_facet	Davis, Simon
author_sort	Davis, Simon
title	The quantum cosmological wavefunction at very early times for a quadratic gravity theory
title_short	The quantum cosmological wavefunction at very early times for a quadratic gravity theory
title_full	The quantum cosmological wavefunction at very early times for a quadratic gravity theory
title_fullStr	The quantum cosmological wavefunction at very early times for a quadratic gravity theory
title_full_unstemmed	The quantum cosmological wavefunction at very early times for a quadratic gravity theory
title_sort	quantum cosmological wavefunction at very early times for a quadratic gravity theory
publisher	Universität Potsdam
publishDate	2003
url	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26520 http://opus.kobv.de/ubp/volltexte/2008/2652/
work_keys_str_mv	AT davissimon thequantumcosmologicalwavefunctionatveryearlytimesforaquadraticgravitytheory AT davissimon quantumcosmologicalwavefunctionatveryearlytimesforaquadraticgravitytheory
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The quantum cosmological wavefunction at very early times for a quadratic gravity theory

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