Scale-dependent slowly rotating black holes with flat horizon structure

TL;DR

This paper derives and analyzes slowly rotating flat-horizon black holes within scale-dependent gravity, examining their thermodynamics, invariants, and the influence of scale dependence, revealing a singularity at the origin similar to classical solutions.

Contribution

It introduces a new solution for slowly rotating black holes in scale-dependent gravity with flat horizons and studies their thermodynamic and invariant properties.

Findings

The solution has a single singularity at the origin.

Scale-dependent parameter affects thermodynamic properties.

The singularity structure is similar to classical solutions.

Abstract

We study slowly rotating four-dimensional black holes with flat horizon structure in scale-dependent gravity. First we obtain the solution, and then we study thermodynamic properties as well as the invariants of the theory. The impact of the scale-dependent parameter is investigated in detail. We find that the scale-dependent solution exhibits a single singularity at the origin, also present in the classical solution.