Instantons For Black Hole Pair Production

TL;DR

This paper investigates the construction of continuous instantons for black hole pair creation in cosmological settings across various gravity theories, including higher curvature and Narlikar C-field models.

Contribution

It introduces new methods for constructing continuous instantons in higher curvature gravity and coupled gravity-C-field theories, expanding understanding of black hole pair production.

Findings

Existence of continuous instantons in higher curvature gravity theories.

Construction of instantons representing near-annihilation and recreation of de Sitter space.

Analysis of instantons for black hole pair creation in different gravity models.

Abstract

We address the issue of constructing continuous instantons representing the pair creation of black holes in a cosmological context. The recent attempt at constructing such solutions using virtual domain walls is reviewed first. We then explore the existence of continuous instantons in higher curvature gravity theories where the Lagrangian is polynomial in the Ricci scalar. Lastly, we study continuous instanton solutions of ordinary gravity coupled to the Narlikar C-field. For each theory, we first consider the case of finding continuous instanton solutions which represent the "near-annihilation" of a de Sitter universe and its subsequent recreation. In situations where these solutions exist, we then ask whether solutions can be found that represent the "near-annihilation" of a de Sitter spacetime and the subsequent creation of a pair of Schwarzschild-de Sitter black holes.