# Energy density of the cosmological constant units question

1. Jun 15, 2014

Hi Everyone!

I need a bit of help with the following question please.

How does the energy density of the cosmological constant Uλ=ρλc^2 have the required SI units if λ=4∏Gρ/c^2

I know that the energy density of the cosmological constant (Uλ)is essentially dark energy and the SI units of energy density is Jm^-3. I also know that G is the gravity constant 6.67 x 10^-11 Nm^2kg^-2 and ρ is the energy density of matter. However, I am confused about the units.

Any help would be appreciated.

2. Jun 18, 2014