Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field

TL;DR

This paper studies how scalar field scattering affects the thermodynamics and stability of warped anti-de Sitter black holes in new massive gravity, confirming thermodynamic laws and preventing overspinning beyond extremality.

Contribution

It provides a detailed analysis of black hole thermodynamics under scalar field scattering, demonstrating consistency with thermodynamic laws and stability constraints.

Findings

Black hole thermodynamics are preserved during scalar scattering.

Hawking temperature remains non-zero, respecting the third law.

Black holes cannot be overspun beyond extremality through scalar field interactions.

Abstract

We investigate the thermodynamics and stability of the horizons in warped anti-de Sitter black holes of the new massive gravity under the scattering of a massive scalar field. Under scattering, conserved quantities can be transferred from the scalar field to the black hole, which change the state of the black hole. We determine that the changes in the black hole are well coincident with the laws of thermodynamics. In particular, the Hawking temperature of the black hole cannot be zero in the process as per the third law of thermodynamics. Furthermore, the black hole cannot be overspun beyond the extremal condition under the scattering of any mode of the scalar field.