Scale-dependent rotating BTZ black hole

TL;DR

This paper generalizes the rotating BTZ black hole by allowing gravitational and cosmological constants to vary with scale, analyzing the resulting changes in horizon structure and thermodynamics.

Contribution

It introduces a scale-dependent approach to rotating BTZ black holes, relaxing constant couplings and solving the modified Einstein equations.

Findings

Modified horizon structure due to scale dependence

Altered thermodynamic properties of the black hole

Asymptotic behavior influenced by variable couplings

Abstract

This work presents a generalization of the rotating black hole in two plus one dimensions, in the light of scale--dependent gravitational couplings. In particular, the gravitational coupling $\kappa_0$ and the cosmological term $\Lambda_0$ are not forced to be constants anymore. Instead, $\kappa$ and $\Lambda$ are allowed to change along the radial scale $r$. The effective Einstein field equations of this problem are solved by assuming static rotational symmetry and by maintaining the usual structure of the line element. For this generalized solution, the asymptotic behavior, the horizon structure, and the thermodynamic properties are analyzed.