Nonsingular black holes and nonsingular universes in the regularized Lovelock gravity

TL;DR

This paper demonstrates that in regularized Lovelock gravity with specific coupling constants and an infinite number of tensors, numerous nonsingular black holes and universes can exist, offering insights into the cosmological constant problem.

Contribution

It introduces a framework where, by tuning coupling constants and taking the limit of infinite Lovelock tensors, nonsingular black holes and universes naturally emerge.

Findings

Existence of nonsingular black holes with multiple horizons and energy levels.

Presence of nonsingular universes transitioning between two de Sitter phases.

A ratio of energy densities between phases differing by 120 orders.

Abstract

It is found that, when the coupling constants $\alpha_p$ in the theory of regularized Lovelock gravity are properly chosen and the number of Lovelock tensors $p\rightarrow \infty$, 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.