Scaling symmetry and scalar hairy rotating AdS_3 black holes

TL;DR

This paper derives a new Smarr relation for hairy rotating AdS_3 black holes using scaling symmetry, and argues for their thermodynamic stability over non-hairy black holes.

Contribution

It introduces a novel Smarr relation for hairy rotating AdS_3 black holes derived via scaling symmetry, and analyzes their thermodynamic stability.

Findings

Derived a new Smarr relation for hairy rotating AdS_3 black holes.

Argued thermodynamic stability of hairy black holes over non-hairy ones.

Used reduced action formalism to establish the scaling symmetry.

Abstract

By using the scaling symmetry in the reduced action formalism, we derive the novel Smarr relation which holds even for the hairy rotating AdS_3 black holes. And then, by using the Smarr relation we argue that the hairy rotating AdS_3 black holes are stable thermodynamically, compared to the non-hairy ones.