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What Lemaître sought were solutions to [Einstein's] field equations that would avoid "Einstein's static universe... (Eddington in 1931 estimated the universe originally at between a billion and 1.2 billion light-years in radius before it began expanding and later that same year Lemaître wrote in Monthly Notices on how, "the expansion of may be started..." (Note, this explicitly is NOT a big bang origin of the universe but the start of an expansion of a universe already in existence.) - 1929 Edwin Hubble: A relation between distance and radial velocity among extra-galactic nebulae, which paper included the "Hubble Law" [called that because Hubble failed to attribute it as Lemaître's Law].
- 1931 Arthur Eddington: Mentioning in passing Lemaître and the growing belief in an expanding universe, Eddington suggests: From the astronomical data it appears that the original radius of space [i.e., the universe] was 1200 million light years. At that radius the mutual attraction of the matter in the world [cosmos] was just sufficient to hold it together and check the tendency to expand. An expansion [from an initially static universe] began, slow at first; but the more widely the matter was scattered the less able was the mutual gravitation to check the expansion.
- Sidney van den Bergh of Canada's National Research Council writes at Cornell's that it is unclear who was responsible for the omission but he reports of the 1931 Monthly Notices "authorized translation of Lemaître's  discovery" that the "mention of the expansion of the Universe was omitted from the English version of both Eqn.
[equation #] 24, and from the English text [and that this] suggests that this exclusion by the translator was deliberate..." However, that shocking and historic omission primarily benefitted Hubble and it was only one year earlier that Hubble himself was insisting that he be given full credit (regardless of the truth) for this discovery.
[But by the time the BB was proposed in 1931, expansion was widely believed (see below).] So Einstein invented the cosmological constant as a term in his General Relativity theory that allowed for a static universe. The "success" of the big bang lies in its ability to simply conform to whatever the latest data or cosmological fad requires.] In 1929, Edwin Hubble announced that his observations of galaxies outside our own Milky Way showed that they were systematically moving away...
[Statements like this reinforce the widely held falsehood that Hubble discovered expansion.
As is known today about the famed astronomer: - Vesto Slipher's name doesn't appear in Hubble's 1929 paper though most of the radial velocities presented were his.
* The Big Bang's Failed Predictions and Failures to Predict: (Updated May 4, 2018.) As documented below, trust in has been misplaced when compared to the actual astronomical observations that were made, in large part, in hopes of affirming the theory.
Consider also from Ostriker & Milton, for Lemaître in "Belgium in 1925...
Slipher's spectra established that the spiral nebulae are extragalactic and gave their velocities... "both of those models were [valid] solutions to Einstein's equations..." - 1926 Edwin Hubble: Extra-galactic Nebulae: "This contribution gives the results of a statistical investigation of 400 extragalactic nebulae for which Holetschek has determined total visual magnitudes." - 1927 Georges Lemaître: Two years before Hubble, Lemaître explicitly published what was later misnamed the "Hubble Law", in his paper, "A homogeneous universe of constant mass and increasing radius accounting for the radial velocity of a period of time in which the universe was static.
- 1918 Carl Wirtz [translation]: "..system of spiral nebulae is drifting apart by a velocity of 656 km with respect to the momentary location of the solar system as the center." - 1922 Alexander Friedmann: On the curvature of space.
[Unlike Einstein's (& Newton's) difficulty in explaining why the universe doesn't gravitationally implode, Friedmann made an interpretation of general relativity that indicated an expanding universe.
Lemaître employed blatant attention-getting techniques, like using the name of one of his famous competitors in the opening sentence of his papers.