The structure and interpretation of cosmology: Part I—general relativistic cosmology

The purpose of this work is to review, clarify, and critically analyse modern mathematical cosmology. The emphasis is upon mathematical objects and structures, rather than numerical computations. This paper concentrates on general relativistic cosmology. The opening section reviews and clarifies the...

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Veröffentlicht in:Studies in History and Philosophy of Modern Physics 2004-12, Vol.35 (4), p.549-595
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description The purpose of this work is to review, clarify, and critically analyse modern mathematical cosmology. The emphasis is upon mathematical objects and structures, rather than numerical computations. This paper concentrates on general relativistic cosmology. The opening section reviews and clarifies the Friedmann–Robertson–Walker models of general relativistic cosmology, while Section 2 deals with the spatially homogeneous models. Particular attention is paid in these opening sections to the topological and geometrical aspects of cosmological models. Section 3 explains how the mathematical formalism can be linked with astronomical observation. In particular, the informal, observational notion of the celestial sphere is given a rigorous mathematical implementation. Part II of this work will concentrate on inflationary cosmology and quantum cosmology.
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subjects Astronomy
Colour
Cosmology
Geometry
History of science
Philosophy of science
Relativism
Space
Space–time
Time
Topology
title The structure and interpretation of cosmology: Part I—general relativistic cosmology
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