In this review article, we describe some of the recent progress towards the construction and
analysis of three-charge configurations in string theory and supergravity. We begin by …

A black ring is a five-dimensional black hole with an event horizon of topology S 1× S 2. We
provide an introduction to the description of black rings in general relativity and string theory …

A bstract We investigate degeneracies of BPS states of D-branes on compact Calabi-Yau
manifolds. We develop a factorization formula for BPS indices using attractor flow trees …

We compute the gravitational multipole moments and ratios of moments of nonextremal and
of supersymmetric black holes in four dimensions, as well as of horizonless microstate …

We construct smooth BPS three-charge geometries that resolve the zero-entropy singularity
of the U (1)× U (1) invariant black ring. This singularity is resolved by a geometric transition …

We demonstrate a solution generating technique, modulo some constraints, for a large class
of smooth supergravity solutions with the same asymptotic charges as a five dimensional 3 …

We describe and study families of BPS microstate geometries, namely, smooth, horizonless
asymptotically flat solutions to supergravity. We examine these solutions from the …

A bstract We explain in detail how to calculate the gravitational mass and angular
momentum multipoles of the most general non-extremal four-dimensional black hole with …

Gravitational entropy arises in string theory via coarse graining over an underlying space of
microstates. In cases with enough supersymmetry, it has been possible to explicitly construct …

We study the physical properties of four-dimensional, string-theoretical, horizonless
“fuzzball” geometries by imaging their shadows. Their microstructure traps light rays straying …