Condensation of a spinor field at the event horizon

TL;DR

This paper investigates the condensation of a classical spinor field at a black hole's event horizon, leading to a solution of Einstein-Dirac equations with a delta-like spinor concentration.

Contribution

It presents a novel solution to Einstein-Dirac equations showing spinor field condensation at the event horizon of a black hole.

Findings

A black hole solution with a delta-like spinor field at the horizon.

Demonstration of spinor condensation effect in classical field theory.

New insights into matter fields at black hole horizons.

Abstract

The physical effect of condensation of a classical spinor field at the event horizon is under consideration. The corresponding solution is sought for the set of the Einstein-Dirac equations. It is shown that in this case there arises a black hole with a $\delta$-like classical spinor field concentrated at the event horizon.