Nonsingular black holes and nonsingular universes in the regularized Lovelock gravity

Abstract

It is found that, when the coupling constants $\hat{I}{\pm }_p$ in the theory of regularized Lovelock gravity are properly chosen and the number of Lovelock tensors $p\to \infty$, there exist a fairly large number of nonsingular (singularity free) black holes and nonsingular universes. Some nonsingular black holes have numerous horizons and numerous energy levels (a bit like atom) inside the outer event horizon. On the other hand, some nonsingular universes start and end in two de Sitter phases. The ratio of energy densities for the two phases are $120$ orders. It is thus helpful to understand the cosmological constant problem.

22 pages, 12 figures, 8 tables