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Perturbation Theory in Nonstandard Cosmology


Scharf, Günter (2019). Perturbation Theory in Nonstandard Cosmology. Advances in Astrophysics, 4(4):133-143.

Abstract

We explore a nonstandard model for the Universe in which we take a vacuum solution of Einstein’s equation as background and introduce visible matter and radiation as perturbations. The perturbation theory is greatly simplified by using the mapping on the inner Schwarzschild solution. The resulting linear perturbation equations can be solved by power series. The solution leads to a finite energy density, but the pressure must be zero. A nonzero pressure comes in the exceptional case of spherical perturbation which gives the isotropic CMB perturbation. The model needs further exploration, in particular a quantitative treatment of CMB, to determine if it is fully consistent with our Universe.

Abstract

We explore a nonstandard model for the Universe in which we take a vacuum solution of Einstein’s equation as background and introduce visible matter and radiation as perturbations. The perturbation theory is greatly simplified by using the mapping on the inner Schwarzschild solution. The resulting linear perturbation equations can be solved by power series. The solution leads to a finite energy density, but the pressure must be zero. A nonzero pressure comes in the exceptional case of spherical perturbation which gives the isotropic CMB perturbation. The model needs further exploration, in particular a quantitative treatment of CMB, to determine if it is fully consistent with our Universe.

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Additional indexing

Item Type:Journal Article, not_refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Uncontrolled Keywords:Cosmology
Language:English
Date:1 November 2019
Deposited On:30 Oct 2019 14:38
Last Modified:07 Apr 2020 07:22
Publisher:Isaac Scientific Publishing
ISSN:2415-6469
OA Status:Green
Publisher DOI:https://doi.org/10.22606/adap.2019.44002

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