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lambdavacuum solution : ウィキペディア英語版
lambdavacuum solution

In general relativity, a lambdavacuum solution is an exact solution to the Einstein field equation in which the only term in the stress–energy tensor is a cosmological constant term. This can be interpreted physically as a kind of classical approximation to a nonzero vacuum energy.
''Terminological note:'' this article concerns a standard concept, but there is apparently ''no standard term'' to denote this concept, so we have attempted to supply one for the benefit of Wikipedia.
==Mathematical definition==

The Einstein field equation is often written as
: G^ + \Lambda \, g^ = 8 \pi \, T^,
with a so-called ''cosmological constant term'' \Lambda \, g^. However, it is possible to move this term to the right hand side and absorb it into the stress–energy tensor T^, so that the cosmological constant term becomes just another contribution to the stress–energy tensor. When other contributions to that tensor vanish, the result
: G^ = -\Lambda \, g^
is a lambdavacuum. An equivalent formulation in terms of the Ricci tensor is
: R^ = \left( R/2 - \Lambda \right) \, g^.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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