Universal Construction of Black Hole Microstates

TL;DR

This paper develops a universal method for constructing black hole microstates with semiclassical interiors, applicable to a wide range of black holes including rotating, charged, extremal, and near-extremal, with potential embedding in String Theory.

Contribution

It extends previous microstate constructions to more general black holes and incorporates quantum corrections, providing a universal framework for understanding black hole interiors.

Findings

Constructed microstates with Hilbert space dimension e^S.

Extended the construction to rotating and charged black holes.

Included quantum corrections and potential String Theory embedding.

Abstract

We refine and extend a recent construction of sets of black hole microstates with semiclassical interiors that span a Hilbert space of dimension $e^S$, where $S$ is the black hole entropy. We elaborate on the definition and properties of microstates in statistical and black hole mechanics. The gravitational description of microstates employs matter shells in the interior of the black hole, and we argue that in the limit where the shells are very heavy, the construction acquires universal validity. To this end, we show it for very wide classes of black holes: we first extend the construction to rotating and charged black holes, including extremal and near-extremal solutions, with or without supersymmetry, and we sketch how the construction of microstates can be embedded in String Theory. We then describe how the approach can include general quantum corrections, near or far from extremality. For supersymmetric black holes, the microstates we construct differ from other recent constructions in that the interior excitations are not confined within the near-extremal throat.