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A Model Universe Admitting the Interchangeability of Stress and Mass

G. C. McVittie
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 211, No. 1105 (Feb. 21, 1952), pp. 295-301
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/98931
Page Count: 7
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A Model Universe Admitting the Interchangeability of Stress and Mass
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Abstract

The possibility of the existence of negative stress in the general relativity treatment of a perfect fluid is used to construct a model universe which is in a 'gravitationally steady state'. Without employing Newtonian analogies, it is shown that stress and mass are mutually convertible into one another in this model, and it is suggested that this process corresponds to the creation of matter postulated in recent cosmological investigations. Using, as the sole empirical datum, the magnitude of the local rate of change of red-shift with distance, plausible assumptions lead to a numerical value of the cosmical constant, to a small value of the density of matter in space and to an unobservably small rate of conversion of stress into mass. The model has an infinitely long contracting phase, followed by an expanding phase which has been proceeding for at least 9 × 109 years.

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