Quasilocal rotating conformal Killing horizons

TL;DR

This paper extends the concept of quasi-local conformal Killing horizons to include rotation, demonstrating that such horizons can be foliated by distorted 2-spheres and still satisfy a first law of thermodynamics.

Contribution

The paper introduces a formulation of rotating conformal Killing horizons with matter fields, expanding the theoretical framework to include rotation and horizon distortion.

Findings

Rotating CKHs can be foliated by distorted 2-spheres.

Rotating CKHs admit a differential first law.

Matter fields like scalar fields can fall through these horizons.

Abstract

The formulation of quasi-local conformal Killling horizons(CKH) is extended to include rotation. This necessitates that the horizon be foliated by 2-spheres which may be distorted. Matter degrees of freedom which fall through the horizon is taken to be a real scalar field. We show that these rotating CKHs also admit a first law in differential form.