Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics

TL;DR

This paper constructs exact multi-horizon black hole solutions within Einstein-nonlinear electrodynamics, providing explicit Lagrangians and analyzing their horizons, geodesics, Love numbers, and thermodynamics.

Contribution

It introduces explicit solutions for black holes with more than two horizons in nonlinear electrodynamics and explores their physical properties.

Findings

Explicit 3-horizon black hole solutions derived.

Analysis of horizons, geodesics, and thermodynamics conducted.

Lagrangian expressions for nonlinear electrodynamics obtained.

Abstract

In this article, we construct exact black hole solutions with many horizons (more than number two) in the Einstein-nonlinear electrodynamic theories. In particular, we acquire the explicit expression of nonlinear electrodynamic Lagrangian for the 3-horizon black holes. Then we make the investigations of 3-horizon black holes on the horizons, the null and timelike geodesics, the Love numbers and the thermodynamics.