Higher order quantum corrections of rotating BTZ black hole

TL;DR

This paper explores how higher order quantum corrections influence the thermodynamics and stability of rotating BTZ black holes, revealing instabilities and critical points induced by quantum effects, with implications for holographic superconductors.

Contribution

It introduces higher order quantum corrections to the thermodynamics of rotating BTZ black holes and analyzes their impact on stability and dual holographic models.

Findings

Quantum corrections affect black hole stability.

Small black holes exhibit instabilities due to quantum effects.

Quantum corrections influence the dual holographic superconductor picture.

Abstract

In this work, we consider rotating BTZ black hole in three dimensions which is dual of one dimensional holographic superconductors. We applied higher order corrections of the entropy, which interpreted as quantum corrections, to the thermodynamics quantities and study modified thermodynamics. We investigate stability of rotating BTZ black hole under effects of higher order quantum corrections, and find that they affect stability of black hole. So, the small black hole has some instabilities and critical points due to the quantum effects. We also study effect of correction terms on the dual picture of rotating BTZ black hole.