- #1
- 2,168
- 193
In a book that I am reading it stated that, the constant curvature implies curvature is homogeneous and isotropic, hence only three ##κ## values are possible for our universe
$$κ = -1, 0, +1$$ as we all know these values represent negative, flat and positive curvature respectively.
Now if ##κ## is different from these values than it means that the universe is not obeying cosmological principle (CP) right? My problem is that why we are assuming that the universe is obeying CP? Maybe for some ##κ## value, we will not need "dark energy"? Also is it possible that ##κ## may vary in time ?
Thanks
$$κ = -1, 0, +1$$ as we all know these values represent negative, flat and positive curvature respectively.
Now if ##κ## is different from these values than it means that the universe is not obeying cosmological principle (CP) right? My problem is that why we are assuming that the universe is obeying CP? Maybe for some ##κ## value, we will not need "dark energy"? Also is it possible that ##κ## may vary in time ?
Thanks