Black holes with constant topological Euler density

TL;DR

This paper explores a class of static, spherically symmetric black hole solutions with constant topological Euler density, demonstrating they satisfy Einstein-Maxwell equations coupled with non-linear Born-Infeld-like electrodynamics.

Contribution

It introduces new black hole geometries characterized by constant topological Euler density that solve Einstein-Maxwell equations with non-linear electrodynamics.

Findings

Solutions satisfy Einstein-Maxwell system with Born-Infeld-like electrodynamics.

Geometries are spherically symmetric and static with constant Euler density.

Provides a new class of black hole solutions with specific topological properties.

Abstract

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like electrodynamics is employed.