Conformal Models of de Sitter Space, Initial Conditions for Inflation and the CMB
作者:
Anthony Lasenby,
Chris Doran,
期刊:
AIP Conference Proceedings
(AIP Available online 1904)
卷期:
Volume 736,
issue 1
页码: 53-70
ISSN:0094-243X
年代: 1904
DOI:10.1063/1.1835174
出版商: AIP
数据来源: AIP
摘要:
Conformal embedding of closed‐universe models in a de Sitter background suggests a quantisation condition on the available conformal time. This condition implies that the universe is closed at no greater than the 10&percent; level. When a massive scalar field is introduced to drive an inflationary phase this figure is reduced to closure at nearer the 1&percent; level. In order to enforce the constraint on the available conformal time we need to consider conditions in the universe before the onset of inflation. A formal series around the initial singularity is constructed, which rests on a pair of dimensionless, scale‐invariant parameters. For physically‐acceptable models we find that both parameters are of order unity, so no fine tuning is required, except in the mass of the scalar field. For typical values of the input parameters we predict the observed values of the cosmological parameters, including the magnitude of the cosmological constant. The model produces a very good fit to the most recent CMBR data, predicting a low‐lfall‐off in the CMB power spectrum consistent with that observed by WMAP. © 2004 American Institute of Physics
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