Probability for Primordial Black Holes in Higher Dimensional Universe

Abstract

We investigate higher dimensional cosmological models in the semiclassical approximation with Hartle-Hawking Boundary conditions, assuming a gravitational action which is described by the scalar curvature with a cosmological constant. In the framework the probability for quantum creation of an inflationary universe with a pair of black holes in a multidimensional universe is evaluated. The probability for creation of a universe with a spatial section with $S^{1}X{S}^{D-2}$ topology is then compared with that of a higher dimensional de Sitter universe with $S^{D-1}$ spatial topology. It is found that a higher dimensional universe with a product space with primordial black holes pair is less probable to nucleate when the extra dimensions scale factors do not vary in an inflating universe.

13 pages, no figure, LaTex

References in corpus (1)

• A small universe after all?

Cited by in corpus (4)

• Primordial Black Holes
• Fundamental Particle Structure in the Cosmological Dark Matter
• Pair creation of higher dimensional black holes on a de Sitter background
• Probability for Primordial Black Holes in Multidimensional Universe with Nonlinear Scalar Curvature Terms