5.6 Suppose you wanted to "pull an Einstein," and create a static universe (à = 0, ä = 0) in which the gravitational attraction of matter is exactly balanced by the gravitational repulsion of dark energy with equation-of- state parameter -1/3 < wa < -1 and energy density &g. What is the necessary matter density (Em) required to produce a static universe, expressed in terms of E, and w,? Will the curvature of this static
5.6 Suppose you wanted to "pull an Einstein," and create a static universe (à = 0, ä = 0) in which the gravitational attraction of matter is exactly balanced by the gravitational repulsion of dark energy with equation-of- state parameter -1/3 < wa < -1 and energy density &g. What is the necessary matter density (Em) required to produce a static universe, expressed in terms of E, and w,? Will the curvature of this static
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Transcribed Image Text:5.6 Suppose you wanted to "pull an Einstein," and create a static universe
(à = 0, ä = 0) in which the gravitational attraction of matter is exactly
balanced by the gravitational repulsion of dark energy with equation-of-
state parameter -1/3 < wg < -1 and energy density Eg. What is the
necessary matter density (Em) required to produce a static universe,
expressed in terms of ɛ, and w,? Will the curvature of this static
universe be negative or positive? What will be its radius of curvature,
expressed in terms of & and wg?
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