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More complete discussion of the time-dependence of the non-static line element for the universe

Tolman, Richard C. (1930) More complete discussion of the time-dependence of the non-static line element for the universe. Proceedings of the National Academy of Sciences of the United States of America, 16 (6). pp. 409-420. ISSN 0027-8424.

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In a previous article,(1) I have shown that a continuous transformation of matter into radiation, occurring throughout the universe, as postulated by the astrophysicists, would necessitate a nonstatic line element for the universe, and have shown that the non-static character thus introduced might provide an explanation of the red shift in the light from the extra-galactic nebulae. In the present article, I wish to discuss the form of dependence of the line element on the time more completely than was possible on the previous occasion. This is a matter of considerable importance, since changes in the approximations which must be introduced to obtain a usable result affect to quite a different extent the expressions for the relation between red shift and distance and for the rate of annihilation of matter. Indeed, the possibility arises of slight changes from the treatment previously given which would leave the theoretical relation between red shift and distance still approximately linear, as observationally found, and yet produce a very considerable change in the calculated rate for the annihilation of matter.

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Additional Information:© 1930 by the National Academy of Sciences. Communicated May 15, 1930.
Issue or Number:6
Record Number:CaltechAUTHORS:TOLpnas30c
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9454
Deposited By: Tony Diaz
Deposited On:07 Jan 2008
Last Modified:03 Oct 2019 00:00

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