Black hole : Equipartition of matter and potential energy

TL;DR

This paper proposes a novel characterization of static black hole horizons based on the equipartition of Brown-York quasilocal energy between matter and potential energy, offering a new physical perspective.

Contribution

It introduces a new horizon characterization using energy equipartition, linking Brown-York energy to matter and gravitational potential energies.

Findings

Horizon defined by energy equipartition between matter and potential energy.

Equivalence to equipartition of binding energy and gravitational charge.

Provides a physically insightful horizon criterion.

Abstract

Black hole horizon is usually defined as the limit for existence of timelike worldline or when a spatially bound surface turns oneway (it is crossable only in one direction). It would be insightful and physically appealing to find its characterization involving an energy consideration. By employing the Brown-York [1] quasilocal energy we propose a new and novel characterization of the horizon of static black hole. It is the surface at which the Brown-York energy equipartitions itself between the matter and potential energy. It is also equivalent to equipartitioning of the binding energy and the gravitational charge enclosed by the horizon.