Probability for primordial black holes in a higher dimensional universe - art. no. 024032

We investigate higher dimensional cosmological models in the semiclassical approximation with Hartle-Hawking boundary conditions, assuming a gravitati onal action which is described by the scalar curvature with a cosmological constant. In the framework the probability for quantum creation of an infla tionary universe with a pair of black holes in a multidimensional universe is evaluated. The probability for creation of a universe with a spatial sec tion with (SXSD-2)-X-1 topology is then compared with that of a higher dime nsional de Sitter universe with SD-1 spatial topology. It is found that a h igher dimensional universe with a product space with a primordial black hol es pair is less probable to nucleate when the extra dimensions scale factor s do not vary in an inflating universe.