Suppose you wanted to "pull an Einstein," and create a static universe  in which the gravitational attraction of matter is exac
tly balanced by the gravitational repulsion of dark energy with equation-of-state parameter − 1/ 3 < wq < − 1 and energy density εq.
What is the necessary matter density (εm) required to produce a static universe, expressed in terms of εq and wq?
Will the curvature of this static universe be negative or positive?
What will be its radius of curvature, expressed in terms of εq and wq?
What is the necessary matter density (εm) required to produce a static universe, expressed in terms of εq and wq?
Will the curvature of this static universe be negative or positive?
What will be its radius of curvature, expressed in terms of εq and wq?
2 answers:
You might be interested in
Answer:
Explanation:
The period of a simple pendulum is given by:
where
L is the length of the pendulum
g is the acceleration of gravity
From this equation we can write
Taking the square of this equation, we get:
So we see that is proportional to L and inversely proportional to g. So, we can write:
So the only correct option is