  This paper deals with some two-parameter solutions to the spherically
symmetric, vacuum Einstein equations which, we argue, are more general than de
Sitter solution. The global structure of one such spacetimes and its extension
to the multiply connected case have also been investigated. By using a
six-dimensional Minkowskian embedding as its maximal extension, we check that
the thermal properties of the considered solution in such an embedding space
are the same as those derived by the usual Euclidean method. The stability of
the generalized de Sitter space containing a black hole has been investigated
as well by introducing perturbations of the Ginsparg-Perry type in first order
approximation. It has been obtained that such a space perdures against the
effects of these perturbations.
