Inhomogeneous Cosmologies, the Copernican Principle and the Cosmic Microwave Background: More on the EGS Theorem |
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| Authors: | C A Clarkson A A Coley E S D O'Neill R A Sussman R K Barrett |
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| Institution: | (1) Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5, Canada;(2) Relativity and Cosmology Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701 Cape Town, South Africa;(3) Instituto de Ciencias Nucleares, UNAM, Apartado Postal 70543, Mexico D. F., 04510, Mexico;(4) Astronomy and Astrophysics group, Department of Physics and Astronomy, University of Glasgow, University Avenue, Glasgow, G12 8QQ, United Kingdom |
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| Abstract: | We discuss inhomogeneous cosmological models which satisfy the Copernican principle. We construct some inhomogeneous cosmological models starting from the ansatz that the all the observers in the models view an isotropic cosmic microwave background. We discuss multi-fluid models, and illustrate how more general inhomogeneous models may be derived, both in General Relativity and in scalar-tensor theories of gravity. Thus we illustrate that the cosmologicalprinciple, the assumption that the Universe we live in is spatially homogeneous, does not necessarily follow from the Copernican principle and the high isotropy of the cosmic microwave background. We also present some new conformally flat two-fluid solutions of Einstein's field equations. |
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| Keywords: | Cosmology Copernican principle Einstein field equation |
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