Electromagnetic Entrapment in Gravity

TL;DR

This paper explores how electromagnetic fields behave near black hole horizons in strong gravitational fields, revealing new localized structures that resemble black holes and could inform microstructure models.

Contribution

It introduces the concept of electromagnetic entrapment near black hole horizons and constructs new neutral bound states of extremal black holes in various dimensions.

Findings

Localized electromagnetic fields vanish beyond high redshift regions.

Constructed neutral bound states of extremal black holes.

Solutions exhibit properties consistent with black hole microstructure.

Abstract

We derive specific properties of electromagnetism when gravitational effects are not negligible and analyze their impact on new physics at the horizons of black holes. We show that a neutral configuration of charges in a region of high redshift, characterized by a large $g^{tt}$, produces a highly localized electromagnetic field that vanishes just beyond that region. This phenomenon implies the existence of extensive families of spacetime structures generated by electromagnetic degrees of freedom that are as compact as black holes. We construct neutral bound states of extremal black holes in four dimensions and in five dimensions, where one direction is compact. These geometries are indistinguishable from a neutral black hole, referred to as distorted Schwarzschild, except in an infinitesimal region near its horizon where the entrapped electromagnetic structures start to manifest. The five-dimensional solutions satisfy various criteria for describing black hole microstructure: they increase in size with the Newton constant, are as compact as the Schwarzschild black hole, and have an entropy that scales like $M^2$.