The cosmological constant is always dimensional less?

[alejandrito29]

the cosmological constant is always dimensional less?

in the randall sundrum models the tension of our brane is

$$T=24M^3_5 \sqrt{\frac{-\Lambda}{24M^3_5}}$$...the sub index of M is the number of dimension of space time and the supercript is the power.

¿whats units have the Planck scales $$M_4$$ and $$M_5$$?...and then...¿whats units have the tension $$T$$?

 

[Finbar]

the cosmological constant is always dimensional less?

in the randall sundrum models the tension of our brane is

$$T=24M^3_5 \sqrt{\frac{-\Lambda}{24M^3_5}}$$...the sub index of M is the number of dimension of space time and the supercript is the power.

¿whats units have the Planck scales $$M_4$$ and $$M_5$$?...and then...¿whats units have the tension $$T$$?

The cosmological has dimensions of mass squared in every dimension(units c= hbar=2)

where did you get this equation for T from?