On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows

TL;DR

This paper introduces new regular black hole solutions derived from non-linear electrodynamics, examines their stability and energy conditions, and compares their geodesic properties, including shadows and photon orbits.

Contribution

The paper presents two novel static, spherically symmetric regular black hole solutions satisfying the Limiting Curvature Condition, with stability and geodesic analyses.

Findings

Solutions are dynamically stable under linear fluctuations.

Black holes satisfy certain energy conditions.

Differences in photon orbits and shadows are analyzed.

Abstract

We introduce two new static, spherically symmetric regular black hole solutions that can be obtained from non-linear electrodynamics models. For each solution, we investigate the dynamic stability with respect to arbitrary linear fluctuations of the metric and electromagnetic field, and also examine the energy conditions that those black holes satisfy. Moreover, based on those solutions, we present two additional ones that satisfy the Limiting Curvature Condition. Finally, we make a comparison between the two solutions exploring their null geodesics and circular photon orbits.