Abstract:
Vacuum solutions in many-dimensional theories of the Kaluza–Klein type with
arbitrary signature are considered. Solutions of 10- and 11-dimensional theories of supergravity
are obtained which satisfy the criterions of ghost absence in the effective
massless 4-dimensional theory. Solutions are constructed which correspond to two
4-dimensional universes and their possible cosmological implications are discussed. For
the $D=10$, $N=2$ supergravity vacuum solutions with vanishing cosmological constant
are obtained.
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