Titlebook: Spacetime; Foundations of Gener Marcus Kriele Book 1999 Springer-Verlag Berlin Heidelberg 1999 Causality.Cosmology.Gravitation.Relativity.S

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Pseudo-Riemannian manifolds,-Riemannian manifolds in detail. The development of the theory of spacetime will be continued in Chap. 5 where we motivate Einstein’s equation, the central equation in general relativity which links matter to gravitation.

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https://doi.org/10.1007/3-540-48354-3Causality; Cosmology; Gravitation; Relativity; Spacetime; astrophysics; general relativity

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0940-7677 for astrophysics.Includes supplementary material: One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singul

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Robertson-Walker cosmology,degree of plausibility. After having built a cosmological model one can compare it with the few data we do have. Although imperfect, this approach seems to have given us much deeper understanding of the development of the universe than would seem possible at first sight.

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Local theory of space and time,ption of space and then incorporate time in to the picture. The path we take is rather historical. It starts with intuitive but surprisingly complicated concepts (Newton’s theory of absolute space and absolute time) and ends with the not so intuitive but mathematically simpler theory of special rela

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Space and time from a global point of view,formal structure. A conformal structure is not sufficient to describe spacetime adequately. In Sect. 3.2 we generalise the notion of inertial observers which leads to the existence of a projective structure. (One of Einstein’s key observations was that this projective structure is closely linked to