On the growth of the number of hyperbolic gravitational instantons with respect to volume

Sep, 2000
9 pages
Published in:
  • Class.Quant.Grav. 17 (2000) 2999-3007
e-Print:

Citations per year

2001200420072010201310
Abstract: (arXiv)
In this paper, we show that the number of hyperbolic gravitational instantons grows superexponentially with respect to volume. As an application, we show that the Hartle-Hawking wave function for the universe is infinitely peaked at a certain closed hyperbolic 3-manifold.
  • gravitation: instanton
  • quantum cosmology: wave function
  • geometry