Cosmological constant

From Diffgeom
Revision as of 14:37, 18 May 2010 by Vipul (talk | contribs) (Definition)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


Let M be a manifold equipped with an Einstein metric. Then the cosmological constant of M is defined as the constant of proportionality \lambda for which:

R_{ij} = \lambda g_{ij}

where R denotes the Ricci curvature tensor.

Equivalently the cosmological constant for an Einstein metric can be defined as the Ricci curvature associated with any one-dimensional subspace of the tangent space.