Introduction to Cosmology Ryden · Problem 4.1

Cosmic Dynamics

Physics — Astrophysics · cosmological-constant-energy

Problem

Suppose the energy density of the cosmological constant is equal to the present critical density εΛ=εc,0=4870\varepsilon_\Lambda = \varepsilon_{c,0} = 4870 MeV m−3^{-3}. What is the total energy of the cosmological constant within a sphere 1 AU in radius? What is the rest energy of the Sun (E⊙=M⊙c2E_\odot = M_\odot c^2)? Comparing these two numbers, do you expect the cosmological constant to have a significant effect on the motion of planets within the solar system?

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