Geometric Resolution of Schwarzschild Horizon

Abstract

We provide the first example of a geometric transition that resolves the Schwarzschild black hole into a smooth microstructure in eleven-dimensional supergravity on a seven-torus. The geometry is indistinguishable from a Schwarzschild black hole dressed with a scalar field in four dimensions, referred to as a Schwarzschild scalarwall. In eleven dimensions, the scalar field arises as moduli of the torus. The resolution occurs at an infinitesimal scale above the horizon, where it transitions to a smooth bubbling spacetime supported by M2-brane flux.

On the stability and deformability of top stars

“…We show that, at the linearized level in the 'probe' approximation, neither absorption nor (charge) super-radiance can take place, in a smooth geometry such as a top star's. Section 6 draws our conclusions and contains a discussion of the stability at linearized level in view of possible 'phenomenological' implications for this kind of smooth horizonless geometries or the more appealing but by-far more challenging 'Schwarzschild topological solitons' [48,49] or 'Bubble Bag End geometries' [50,51].…”

A 4d non-BPS NS-NS microstate

“…A set of smooth nonextremal microstate geometries were constructed in [41]. A set of smooth non-BPS geometries were constructed in a variety of scenarios using non-trivial topological structures in [42][43][44][45], with a smooth Schwarzschild-like geometry being constructed in [46]. While microstate geometries have yielded significant results in recent years one can consider what happens beyond the regime of supergravity.…”