Properties of expanding universes
University of Cambridge
Faculty of Mathematics. Applied Mathematics and Theoretical Physics
Doctor of Philosophy (PhD)
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Hawking, S. (1966). Properties of expanding universes (Doctoral thesis). https://doi.org/10.17863/CAM.11283
This thesis has been made openly available with the kind permission of Professor Stephen Hawking.
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.
Alternative form(s): https://cudl.lib.cam.ac.uk/view/MS-PHD-05437
This record's DOI: https://doi.org/10.17863/CAM.11283
© Stephen Hawking, All Rights Reserved