# Magnetized topological black holes of dimensionally continued gravity

## TL;DR

This paper derives and analyzes a family of magnetized topological black hole solutions in dimensionally continued gravity, exploring their thermodynamics, asymptotic behavior, and extensions with Yang-Mills fields.

## Contribution

It introduces new magnetized black hole solutions in Lovelock gravity coupled with exponential electrodynamics and Yang-Mills theory, including thermodynamic analysis and asymptotic properties.

## Key findings

- Black hole solutions with magnetic charge are explicitly constructed.
- Thermodynamic quantities satisfy the first law of black hole thermodynamics.
- Asymptotic behavior of metric functions and curvature invariants is characterized.

## Abstract

In this paper, a large family of topological black hole solutions of dimensionally continued gravity are derived. The action of Lovelock gravity is coupled to the exponential electrodynamics and the equations of motion are solved in the presence of a pure magnetic source. We work out the metric functions in terms of the parameter $\beta$ of exponential electrodynamics, and magnetic charge. Further, we couple Lovelock gravity to power-Yang-Mills theory and construct black holes, in diverse dimensions, having Yang-Mills magnetic charge. We also discuss the asymptotic bahaviour of metric functions and curvature invariants at the origin for both the models. The thermodynamics of resulting magnetized black hole solutions in the framework of two different models is also studied. The thermodynamical quantities like Hawking temperature, entropy and specific heat capacity at constant charge are found and we show that the resulting quantities satisfy the first law of black hole thermodynamics. We also study the magnetized hairy black holes of dimensionally continued gravity.