Average energy density and the size of the Universe

Details Average energy density and the size of the Universe Average energy density and the size of the Universe

Oct 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36.2226o&link_type=abstract

Physical Review D (Particles and Fields), Volume 36, Issue 8, 15 October 1987, pp.2226-2228

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Scientific paper

This paper shows that there is a relationship between the maximum volume of any cosmological solution of the Einstein equations and its average energy density. An inequality is derived which shows that the average energy density multiplied by the volume to the (2/3 power must be greater than a fixed constant. Equivalently, the total energy content, divided by the volume to the (1/3 power, is bounded below.

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