Abstract
A detailed analysis is made of the status of the no-hair conjectures of general relativistic inflationary universe in Newtonian cosmological models. The authors show that the no-hair theorem cannot be proved in Newtonian gravity with a positive cosmological constant. Rigorous results can be derived to show that the mean volume approaches the behaviour of the Newtonian de Sitter universe at large times but no information is available about its shape. This manifestation of the 'gravitational paradox is displayed both in the fluid and N-body formulations of Newtonian cosmology.
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