5.6 Suppose yo a (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 &g. What is the necessary matter density (Em) required to produce a static universe, expressed in terms of &, and w? Will the curvature of this static Wq?

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5.6 Suppose you wanted to "pull an Einstein," and create a static universe
(å = 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 < w, < -1 and energy density &g. 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
Transcribed Image Text:5.6 Suppose you wanted to "pull an Einstein," and create a static universe (å = 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 < w, < -1 and energy density &g. 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
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