Average energy density and the size of the universe
Ó Murchadha, Niall
American Physical Society
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 ⅔, power must be greater than a fixed constant. Equivalently, the total energy content, divided by the volume to the ⅓ power, is bounded below.
Einstein equations , Average energy density
O’Murchadha, N. (1987) 'Average energy density and the size of the Universe', Physical Review D, 36(8), 2226-2228 (3pp). doi: 10.1103/PhysRevD.36.2226
© 1987, American Physical Society