Abstract
In terms of the Abbott-Deser energy method, the stability for a small perturbation of N ariai's 5, ® s,. type solution of the vacuum Einstein equations with non-vanishing cosmological constant is studied. It is shown that the space-time is stable for some perturbations which arise only inside its event horizon. Recently, an effective cosmological term (A term) has been considered by many author·s in relation to the phase transition in an early stage of the big-bang universe. The de Sitter space time is famous as an exact solution of the vacuum Einstein equations with a positive cosmological constant A:
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