Abstract
We construct an infinite family of smooth asymptotically-flat supergravity solutions that have the same charges and angular momenta as general supersymmetric D1-D5-P black holes, but have no horizon. These solutions resemble the corresponding black hole to arbitrary accuracy outside of the horizon: they have asymptotically flat regions, {mathrm{AdS}}_3times {mathbb{S}}^3 throats and very-near-horizon AdS2 throats, which however end in a smooth cap rather than an event horizon. The angular momenta of the solutions are general, and in particular can take arbitrarily small values. Upon taking the {mathrm{AdS}}_3times {mathbb{S}}^3 decoupling limit, we identify the holographically-dual CFT states.
Highlights
Introduction and discussion1.1 An overview of black-hole microstatesThe realization that black holes are thermodynamic black bodies has reshaped our fundamental concept of space and time by introducing profound connections between gravity, quantum mechanics, statistical mechanics and quantum information theory
We construct an infinite family of smooth asymptotically-flat supergravity solutions that have the same charges and angular momenta as general supersymmetric D1D5-P black holes, but have no horizon
The need for a dramatic reformulation of our understanding of horizon-scale physics follows from the fundamental conflict between the locality, causality, and unitarity properties of quantum field theory in the context of black-body (Hawking) radiation emitted by a black hole as described in General Relativity
Summary
The realization that black holes are thermodynamic black bodies has reshaped our fundamental concept of space and time by introducing profound connections between gravity, quantum mechanics, statistical mechanics and quantum information theory. A Microstate Geometry is a smooth, horizonless solution of supergravity that is valid within the supergravity approximation to string theory and that has the same mass, charge and angular momentum as a given black hole. A Fuzzball is the most generic horizonless configuration in string theory that has the same mass, charge and angular momentum as a given black hole It can involve arbitrary excitations of non-supergravity fields corresponding to massive stringy modes and can be arbitrarily quantum. The examples of microstate geometries constructed to date are still rather limited, and it is not clear whether the most general configurations are sufficiently generic to represent typical microstates of a black hole They correspond to macroscopic, coherent excitations of a particular set of modes in the supergravity approximation. Microstate geometries are the laboratory par excellence for probing and testing ideas about black-hole microstate structure
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