Non-minimally coupled scalar fields and isolated horizons

TL;DR

This paper extends the isolated horizon framework to include non-minimally coupled scalar fields, showing that entropy depends on both horizon area and scalar field, paving the way for quantum geometric analysis.

Contribution

It introduces a generalized isolated horizon framework accounting for non-minimal scalar couplings, modifying the entropy-area relation.

Findings

Entropy depends on horizon area and scalar field

Extension of isolated horizon framework to non-minimal couplings

Foundation for quantum geometric entropy derivation

Abstract

The isolated horizon framework is extended to include non-minimally coupled scalar fields. As expected from the analysis based on Killing horizons, entropy is no longer given just by (a quarter of) the horizon area but also depends on the scalar field. In a subsequent paper these results will serve as a point of departure for a statistical mechanical derivation of entropy using quantum geometry.