Inflation, black holes with primary hair, and regular planar black holes from an infinite tower of regularized Lovelock-Proca corrections

TL;DR

This paper explores how an infinite tower of higher-order Proca corrections inspired by Lovelock invariants can resolve singularities, replace the Big Bang with inflation, and produce regular black hole solutions with primary hair.

Contribution

It introduces a novel infinite tower of Lovelock-Proca corrections that lead to regular black holes and an inflationary early universe, extending previous theories of gravity.

Findings

Big Bang singularity replaced by inflationary epoch

Existence of regular planar black holes

Black holes with primary hair from the Lovelock-Proca tower

Abstract

Infinite towers of higher-order corrections to General Relativity have been proposed as a mechanism to resolve singularities in early-universe cosmology and black holes, in a variety of settings. In this work, we consider an infinite tower of higher-order Proca corrections inspired by dimensional regularizations of Lovelock invariants. We find that the Big Bang singularity present in General Relativity is replaced by an inflationary epoch. Furthermore, the Lovelock-Proca tower allows for regular planar black hole solutions and spherically symmetric black holes with primary hair.