Lambdavacuum Solution - Mathematical Definition

Mathematical Definition

The Einstein field equation is often written, with a so-called cosmological constant term, as

However, it is more sensible to move the extra term to the right hand side and absorb it into the stress-energy tensor, so that the cosmological constant term becomes just another contribution to the stress-energy tensor. When other contributions vanish,

we have a lambdavacuum. Equivalently, we can write this, in terms of the Ricci tensor, in the form

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