Over-Rotating Black Holes, Godel Holography and the Hypertube

TL;DR

This work presents a concrete string-theoretic construction in which a five-dimensional Gödel universe is joined to exterior BMPV black-hole geometries via a smeared supertube domain wall, thereby eliminating closed timelike curves and enabling a holographic interpretation. By treating both two-charge and three-charge outside solutions and enforcing Israel matching, the authors derive wall stress-energy tensors that naturally split into charge- and angular-momentum contributions, with microscopic D0/D4/F1 bound-state data consistently reproducing the wall's D2-dipole moment. The analysis connects microstate counting to macroscopic charges through relations among wall radius, central charges, and angular momentum, and explores decoupling limits that yield deformations of AdS$_2\times S^3$ (and, via U-duality, AdS$_3\times S^3$) geometries, situating the construction within D1/D5/D4- and D0/F1/D4-type frameworks. The paper further argues that domain walls provide a bridge between open and closed string descriptions, offering a Gödel holography program in which interior Gödel degrees of freedom map to wall-bound states and, in suitable limits, to noncommutative 2+1 field theories or matrix quantum mechanics. Overall, the work proposes a mechanism for chronology protection in string theory and a novel holographic perspective on Gödel spacetimes through brane-domain-wall constructions and their microstate structure.

Abstract

We demonstrate how a five dimensional Godel universe appears as the core of resolved two-charge and three-charge over-rotating BMPV black holes. A smeared generalized supertube acts as a domain wall and removes regions of closed timelike curves by cutting off both the inside and outside solution before causality violations appear, effectively allowing the Godel universe and the over-rotating black hole to solve each other's causality problems. This mechanism suggests a novel form of holography between the compact Godel region and the diverse vacua and excitations of the bound state of a finite number of D0 and D4-branes with fundamental strings.