Exact Supersymmetric Massive and Massless White Holes

TL;DR

This paper explores special supersymmetric solutions in heterotic string theory that behave as white holes, exhibiting gravitational repulsion and including both massless and massive configurations near moduli space points.

Contribution

It identifies new supersymmetric massless and massive solutions with gravitational repulsion, expanding understanding of exotic objects in string theory.

Findings

Existence of massless supersymmetric states with vanishing ADM mass.

Discovery of a new class of massive supersymmetric solutions.

All these objects exhibit gravitational repulsion, acting as white holes.

Abstract

We study special points in the moduli space of vacua at which supersymmetric electric solutions of the heterotic string theory become massless. We concentrate on configurations for which supersymmetric non-renormalization theorem is valid. Those are ten-dimensional supersymmetric string waves and generalized fundamental strings with SO(8) holonomy group. From these we find the four dimensional spherically symmetric configurations which saturate the BPS bound, in particular near the points of the vanishing ADM mass. The non-trivial massless supersymmetric states in this class exist only in the presence of non-Abelian vector fields.We also find a new class of supersymmetric massive solutions, closely related to the massless ones. A distinctive property of all these objects, either massless or massive, is the existence of gravitational repulsion. They reflect all particles with nonvanishing mass and/or angular momentum, and therefore they can be called white holes (repulsons), in contrast to black holes which tend to absorb particles of all kinds. If such objects can exist, we will have the first realization of the universal gravitational force which repels all particles with the strength proportional to their mass and therefore can be associated with antigravity.