# Energy conditions of non-singular black hole spacetimes in conformal gravity

## TL;DR

This paper investigates the energy conditions of non-singular black hole solutions in conformal gravity to determine if these conditions can help identify the physically relevant vacuum state in the broken phase.

## Contribution

It analyzes the energy conditions of non-singular black hole spacetimes in conformal gravity, providing insights into vacuum selection in the broken phase.

## Key findings

- Energy conditions are examined for non-singular black holes in conformal gravity.
- Results suggest energy conditions may aid in selecting the physical vacuum.
- Study bridges conformal gravity solutions with effective energy-momentum tensors.

## Abstract

Conformal gravity can elegantly solve the problem of spacetime singularities present in Einstein's gravity. For every physical spacetime, there is an infinite family of conformally-equivalent singularity-free metrics. In the unbroken phase, every non-singular metric is equivalent and can be used to infer the physical properties of the spacetime. In the broken phase, a Higgs-like mechanism should select a certain vacuum, which thus becomes the physical one. However, in the absence of the complete theoretical framework we do not know how to select the right vacuum. In this paper, we study the energy conditions of non-singular black hole spacetimes obtained in conformal gravity assuming they are solutions of Einstein's gravity with an effective energy-momentum tensor. We check whether such conditions can be helpful to select the vacuum of the broken phase.