Quotients of AdS_{p+1} x S^q: causally well-behaved spaces and black holes

Abstract

Starting from the recent classification of quotients of Freund--Rubin backgrounds in string theory of the type AdS_{p+1} x S^q by one-parameter subgroups of isometries, we investigate the physical interpretation of the associated quotients by discrete cyclic subgroups. We establish which quotients have well-behaved causal structures, and of those containing closed timelike curves, which have interpretations as black holes. We explain the relation to previous investigations of quotients of asymptotically flat spacetimes and plane waves, of black holes in AdS and of Godel-type universes.

arXiv comment48 pages; v2: minor typos corrected

References in corpus (67)

• The Black Hole in Three Dimensional Space Time
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Geometry of the 2+1 Black Hole
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• All supersymmetric solutions of minimal supergravity in five dimensions
• From Big Crunch to Big Bang
• Penrose limits and maximal supersymmetry
• A New Cosmological Scenario in String Theory
• Spacetime as a membrane in higher dimensions
• AdS2 Quantum Gravity and String Theory
• Strings in a Time-Dependent Orbifold
• Strings in Time-Dependent Orbifolds
• Penrose limits, supergravity and brane dynamics
• Instability of Spacelike and Null Orbifold Singularities
• Plane Wave Limits and T-Duality
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• On Pair Creation of Extremal Black Holes and Kaluza-Klein Monopoles
• The Decay of Magnetic Fields in Kaluza-Klein Theory
• Fluxbranes in String Theory
• Time-dependent Orbifolds and String Cosmology
• From Big Bang to Big Crunch and Beyond
• Holographic Protection of Chronology in Universes of the Godel Type
• On lightcone string field theory from Super Yang-Mills and holography
• Nucleation of $P$-Branes and Fundamental Strings
• AdS_5 x S^5 Untwisted
• The Kaluza-Klein Melvin Solution in M-theory
• Constant Curvature Black Holes
• The geometry of null rotation identifications
• Anti-de Sitter space and black holes
• A Space-Time Orbifold: A Toy Model for a Cosmological Singularity
• String Propagation in the Presence of Cosmological Singularities
• On the instability of 3d null singularities
• (Twisted) Toroidal Compactification of pp-Waves
• The dual of nothing
• On Smooth Time-Dependent Orbifolds and Null Singularities
• A New Approach to String Cosmology
• Comments on Cosmological Singularities in String Theory
• Supersymmetric Godel Universes in String Theory
• Holonomy and Symmetry in M-theory
• Tubular Branes in Fluxbranes
• Flux-branes and the Dielectric Effect in String Theory
• Supersymmetry without Supersymmetry
• Exciting AdS Orbifolds
• Generalised supersymmetric fluxbranes
• Black Holes and Causal Structure in Anti-de Sitter Isometric Spacetimes
• Gravitating Fluxbranes
• String Theory on AdS Orbifolds
• A note on the Supergravity Description of Dielectric Branes
• Bubbles in Anti-de Sitter Space
• Spacetimes of Boosted p-branes, and CFT in Infinite-momentum Frame
• Constant Curvature Black Hole and Dual Field Theory
• From p-branes to fluxbranes and back
• Supersymmetric fluxbrane intersections and closed string tachyons
• Null orbifolds in AdS, Time Dependence and Holography
• Removing Singularities
• Intersecting M-Fluxbranes
• Causal inheritance in plane wave quotients
• Timelike Hopf Duality and Type IIA^* String Solutions
• Regular Poisson structures on massive non-rotating BTZ black holes
• Quotients of anti-de Sitter space
• Orbifold Physics and de Sitter Spacetime
• Branes, Waves and AdS Orbifolds
• Supersymmetric Kaluza-Klein reductions of M-waves and MKK-monopoles
• Killing Spinors and Supersymmetric AdS Orbifolds
• Global geometry of the 2+1 rotating black hole
• Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration
• Decay Modes of Intersecting Fluxbranes

Cited by in corpus (22)

• Non-supersymmetric smooth geometries and D1-D5-P bound states
• Supersymmetry and homogeneity of M-theory backgrounds
• Birkhoff's Theorem for Three-Dimensional AdS Gravity
• Near Horizon Limits of Massless BTZ and Their CFT Duals
• Much Ado About Nothing
• M-theory preons cannot arise by quotients
• Time-dependent spacetimes in AdS/CFT: Bubble and black hole
• Quotients of anti-de Sitter space
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• Inflation, Large Branes, and the Shape of Space
• Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Holographic formula for the determinant of the scattering operator in thermal AdS
• The return of the four- and five-dimensional preons
• States of a chiral 2d CFT
• Supersymmetry and spin structures
• APS Instability and the Topology of the Brane-World
• Functional determinants, generalized BTZ geometries and Selberg zeta function
• Anti-de Sitter Quotients: When Are They Black Holes?
• Deformations of anti-de Sitter black holes
• Locally anti de Sitter spaces and deformation quantization
• Black holes in symmetric spaces : anti-de Sitter spaces