PhD.5437 University Library

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University of Cambridge Cambridge University Library PhD.5437 Some implications and consequences of the expansion of the universe are examined. In Chapter 1 it is shown that this expansion creates grave difficulties for the Hoyle-Narlikar theory of gravitation. Chapter 2 deals with perturbations of an expanding homogeneous and isotropic universe. The conclusion is reached that galaxies cannot be formed as a result of the growth of perturbations that were initially small. The propagation and absorption of gravitational radiation is also investigated in this approximation. In Chapter 3 gravitational radiation in an expanding universe is examined by a method of asymptotic expansions. The 'peeling off' behaviour and the asymptotic group are derived. Chapter 4 deals with the occurrence of singularities in cosmological models. It is shown that a singularity is inevitable provided that certain very general conditions are satisfied. Properties of expanding universes / Stephen Hawking English Hawking, Stephen, 1942- Abstract Introduction Acknowledgements Chapter 1: The Hoyle-Narlikar theory of gravitation Chapter 2: Perturbations Chapter 3: Gravitational radiation in an expanding universe Chapter 4: Singularities Paper 117 leaves ; 26 cm 1966 Cambridge

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Library of Congress Subject Headings Cosmology