Hair from the Isolated Horizon Perspective

TL;DR

This paper explores the Isolated Horizons formalism's application to hairy black holes, analyzing new results for solitons and stationary solutions, and discussing horizon no-hair conjectures in these contexts.

Contribution

It extends the IH formalism to theories with hair, providing new insights into solitons, stationary solutions, and horizon no-hair conjectures.

Findings

Analysis of solitons and stationary solutions with hair

Formulation of horizon no-hair conjectures

New results on quasi-local quantities in IH formalism

Abstract

The recently introduced Isolated Horizons (IH) formalism has become a powerful tool for realistic black hole physics. In particular, it generalizes the zeroth and first laws of black hole mechanics in terms of quasi-local quantities and serves as a starting point for quantum entropy calculations. In this note we consider theories which admit hair, and analyze some new results that the IH provides, when considering solitons and stationary solutions. Furthermore, the IH formalism allows to state uniqueness conjectures (i.e. horizon `no-hair conjectures') for the existence of solutions.