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Introduction to vectors in curved spaces, the exterior calculus, tensor densities, affine connections and Christoffel symbols, parallel transport and covariant derivatives, metric spaces, and the theory of curvature.
Conservation laws and the energy–momentum–stress pseudotensor; the cosmological principle and the structure of the universe at large, the Robertson–Walker metric and the Friedman universe(s), Hubble’s law, the expansion of the universe, and the cosmological constant.
Sidney Coleman (1937–2007) earned his doctorate at Caltech under Murray Gell-Mann. Before completing his thesis, he was hired by Harvard and remained there his entire career. A celebrated particle theorist, he is perhaps best known for his brilliant lectures, given at Harvard and in a series of summer school courses at Erice, Sicily. Three times in the 1960s he taught a graduate course on Special and General Relativity; this book is based on lecture notes taken by three of his students and compiled by the Editors.
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