联系我们
Isaac Scientific Publishing
Advances in Astrophysics
AdAp > Volume 4, Number 4, November 2019

Perturbation Theory in Nonstandard Cosmology

Download PDF  (296.8 KB)PP. 133-143,  Pub. Date:October 24, 2019
DOI: 10.22606/adap.2019.44002

Author(s)
Günter Scharf
Affiliation(s)
Physics Institute, University of Zürich, Winterthurerstr. 190 , CH-8057 Zürich, Switzerland
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.
Keywords
Cosmology
References
  • [1]  Scharf G. 2015, Cosmology with the cosmic rest frame, arXiv astro-phys/1503.05878
  • [2]  Scharf G.2016, Gauge Field Theories, Spin 1 and Spin 2, 100 Years After General Relativity, Dover Publications, Inc. Mineola, New York
  • [3]  Plebański J. Krasiński A. 2006, An Introduction to General Relativity and Cosmology, Cambridge University Press
  • [4]  Zerilli F.J. 1970, Physical Review D 3, 2141
  • [5]  Bondi H. 1947, Spherically symmetrical models in general relativity, Mon. Not. Roy. Astr. Soc. 107, 410
  • [6]  Gerlach U.H., Sengupta U.K. 1980, Physical Review D 6, 1300
  • [7]  Tomita K. 2010, Physical Review D 81, 063509, arXiv astro-ph/0912.4773
  • [8]  Regge T., Wheeler J.A. 1957, Physical Review 108, 1063
  • [9]  Krisciunas K. 2008, Type Ia Supernovae and the Acceleration of the Universe: Results from the ESSENCE Supernova Survey, arXiv:0809.2612
Copyright © 2019 Isaac Scientific Publishing Co. All rights reserved.