Cosmological constant - Revision history

Vipul: /* Definition */

2010-05-18T14:37:16Z

Definition

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	where <math>R</math> denotes the [[Ricci curvature tensor]].		where <math>R</math> 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 ~~subspcae~~ of the tangent space.		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.

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2008-05-18T19:36:41Z

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2007-06-14T18:40:40Z

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==Definition==

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

<math>R_{ij} = \lambda g_{ij}</math>

where <math>R</math> 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 subspcae of the tangent space.