Regular Charged Black Holes, Quasilocal Energy and Energy Conditions

TL;DR

This paper investigates the relationship between gravitational energy and Komar charge at black hole horizons, characterizing regular black holes through energy conditions and their inequalities.

Contribution

It introduces a method to classify regular black hole solutions based on the energy conditions they satisfy, linking these conditions to energy inequalities at the horizon.

Findings

Identified the connection between energy inequalities and energy conditions in regular black holes.

Provided a characterization of regular black holes via energy conditions.

Analyzed the role of nonlinear electrodynamics in regular black hole solutions.

Abstract

We revisit the relationship of inequality between the gravitational field energy and the Komar charge, both quantities evaluated at the event horizon, for static and spherically symmetric regular black hole solutions obtained with nonlinear electrodynamics. We found a way to characterize these regular black hole solutions by the energy conditions that they satisfy. In particular, we show the relation between the direction of the inequality and the energy condition that satisfy the regular black hole solutions.