# Using Dominant and Weak Energy Conditions for build New Classes of Regular Black Holes

## TL;DR

This paper develops a new class of regular black hole solutions in 4D General Relativity coupled with Non-linear Electrodynamics by applying energy conditions, resulting in models that include asymptotically Reissner-Nordstrom black holes.

## Contribution

It introduces a novel method to construct regular black holes satisfying both Weak and Dominant Energy Conditions using a generalized mass function.

## Key findings

- Constructed a new class of regular black holes
- Included models asymptotically Reissner-Nordstrom
- Ensured solutions satisfy key energy conditions

## Abstract

We study the generalization of the mass function of classes of regular spherically symmetric black holes solutions of in $ 4D $ coming from the coupling of General Relativity with Non-linear Electrodynamics, through the requirement of the energy conditions. Imposing that the solution must be regular and that the Weak and Dominant Energy Conditions are simultaneously satisfied, for models with the symmetry $T^0_{\;\;0} = T^1_{\;\;1} $ of the tensor energy-momentum, we construct a new general class of regular black holes of which two cases are asymptotically Reissner-Nordstrom.