Resolving Black-Hole Microstructure with New Momentum Carriers

Abstract

All known horizonless black-hole microstate geometries correspond to brane sources that acquire a finite size, and hence break the spherical symmetry of the black hole. We construct, for the first time, solutions with zero horizon area that have the same charges as a three-charge F1-NS5-P Type-IIA black hole and preserve this spherical symmetry. The momentum of these solutions is carried by longitudinal D0-D4 density fluctuations inside the NS5-branes. We argue that these solutions should be interpreted as the long-throat limit of a family of smooth, horizonless microstate geometries, called superstrata, where such geometries degenerate. The existence of these geometries indicates that a finite-size horizon does not appear even in the singular corners of the moduli space of three-charge microstate geometries.

Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory

“…A more interesting possibility is to create superstrata with momentum carriers on the T 4 or T 5 , without turning on angular momentum. A first step in this direction has been made in [40,157].…”

“…The construction of microstate geometries is far from complete: every year, new classes of such geometries are constructed, or conjectured to exist. Indeed, the last year has seen a huge range of new possibilities [23,93,116,117,40,157].…”

“…Examples of this include, the trapping instability[35][36][37] that naively leads to shockwave singularities[38]; the degeneration limits of supertubes[39]; and the zero angular-momentum limit of superstrata[40].…”

“…This is probably just a technical limitation: recent work[40,157] suggests that there may well exist spherically symmetric microstate geometries…”

Elliptical and purely NS superstrata

“…The significance of the a → 0 limit for the standard superstratum and a resolution to the issue of whether a black hole solution can be obtained as a limit of such a horizonless geometry is discussed in [38].…”