# Black hole solution of Einstein-Born-Infeld-Yang-Mills theory

## TL;DR

This paper presents a new four-dimensional black hole solution in Einstein-Born-Infeld-Yang-Mills theory, analyzes its thermodynamics, and explores its phase transition behavior in extended phase space.

## Contribution

The paper introduces a novel black hole solution in Einstein-Born-Infeld-Yang-Mills theory and studies its thermodynamic properties and phase transitions.

## Key findings

- Thermodynamical quantities satisfy the first law.
- Black hole exhibits phase transition behaviors in extended phase space.
- Several degenerated forms of the black hole solution are presented.

## Abstract

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed, several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the first law of thermodynamics is checked to be satisfied. Identifying the cosmological constant as pressure of the system, the phase transition behaviors of the black hole in the extended phase space are studied.