Nonsingular black holes from conformal symmetries

TL;DR

This paper derives a new class of static, nonsingular black hole metrics with de Sitter cores, based on conformal symmetry assumptions, extending the Fan & Wang metric and constrained by galactic center data.

Contribution

It introduces a novel derivation of nonsingular black hole metrics from conformal symmetries, linking theoretical models with observational constraints.

Findings

Derived a specific metric form for nonsingular black holes with de Sitter cores.

Connected the new metric to the Fan & Wang metric with observational parameter constraints.

Provided a theoretical framework consistent with galactic center star orbit data.

Abstract

We derive the form of the metric for static, nonsingular black holes with a de Sitter core, representing a deformation of the Schwarzschild solution, by assuming that the gravitational sources describe a flow between two conformal points, at small and great distances. The resulting black-hole metric turns out to be a particular case of the Fan $\&$ Wang metric, whose parameters have been recently constrained by using the data of the S$2$ star orbits around the galactic centre SgrA$^\ast$.