The Structure and Interpretation of Cosmology: Part I - General Relativistic Cosmology
arXiv:gr-qc/0503028 · doi:10.1016/j.shpsb.2004.05.002
Abstract
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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Cited by in corpus (5)
- Teleparallel Gravity: From Theory to Cosmology
- Cosmic microwave background multipole alignments in slab topologies
- The structure and interpretation of cosmology: Part II - The concept of creation in inflation and quantum cosmology
- A unified mode decomposition method for physical fields in homogeneous cosmology
- Fomin's conception of quantum cosmogenesis