# Thermodynamic Properties of Yukawa-Schwarzschild Black Hole in Non-commutative Gauge Gravity

## TL;DR

This paper develops a non-commutative gauge theory for Yukawa-Schwarzschild black holes, analyzing their thermodynamic properties and gravitational force corrections due to non-commutativity.

## Contribution

It introduces a novel non-commutative gauge framework for Yukawa-Schwarzschild black holes and examines their thermodynamic and gravitational characteristics.

## Key findings

- Thermodynamic properties are modified by non-commutativity.
- Corrections to gravitational force are quantified at the horizon.
- New insights into black hole thermodynamics in non-commutative space.

## Abstract

In this paper we construct a non-commutative gauge theory for the deformed metric corresponding to the modified structure of a gravitational field in the case of Yukawa-Schwarzschild non-commutative space-time. The thermodynamic properties and corrections to the gravitational force on the horizon of a non-commutative Yukawa-Schwarzschild black hole are analysed.