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896
The large N limit of superconformal field theories and supergravity
, 1998
"... We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and ..."
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Cited by 5681 (21 self)
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We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large N. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the superPoincare group). The ’t Hooft limit of 3+1 N = 4 superYangMills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various AntideSitter spacetimes is dual to various conformal field theories. This leads to a new proposal for a definition of Mtheory which could be extended to include five or four noncompact dimensions. 1
Quasilocal energymomentum and angular momentum in General Relativity: A review article
 Living Rev. Rel
"... in relativity ..."
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general relativity allow an observer to view an eternity in a finite time
 Foundations of Physics Letters
, 1992
"... I investigate whether there are general relativistic spacetimes that allow an observer g to collect in a finite time all the data from the worldline of another observer ~, where the proper length of ~'s worldline is infinite. The existence of these spacetimes has a bearing on certain problems i ..."
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Cited by 64 (4 self)
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I investigate whether there are general relativistic spacetimes that allow an observer g to collect in a finite time all the data from the worldline of another observer ~, where the proper length of ~'s worldline is infinite. The existence of these spacetimes has a bearing on certain problems in computation theory. A theorem shows that most standard spacetimes cannot accommodate this scenario. There are however spacetimes which can: antide Sitter spacetime is one example. Key words: general relativity, eternity, antide Sitter, Pitowsky. 1.
From big bang to big crunch and beyond
 JHEP
"... We study a quotient Conformal Field Theory, which describes a 3 + 1 dimensional cosmological spacetime. Part of this spacetime is the NappiWitten (NW) universe, which starts at a “big bang ” singularity, expands and then contracts to a “big crunch ” singularity at a finite time. The gauged WZW mode ..."
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Cited by 63 (11 self)
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We study a quotient Conformal Field Theory, which describes a 3 + 1 dimensional cosmological spacetime. Part of this spacetime is the NappiWitten (NW) universe, which starts at a “big bang ” singularity, expands and then contracts to a “big crunch ” singularity at a finite time. The gauged WZW model contains a number of copies of the NW spacetime, with each copy connected to the preceeding one and to the next one at the respective big bang/big crunch singularities. The sequence of NW spacetimes is further connected at the singularities to a series of noncompact static regions with closed timelike curves. These regions contain boundaries, on which the observables of the theory live. This suggests a holographic interpretation of the physics. 4/02
Global extensions of spacetimes describing asymptotic final states of black holes Class
 Quantum Grav. 13 539 (Preprint grqc/9507055
, 1996
"... We consider a globally hyperbolic, stationary spacetime containing a black hole but no white hole. We assume, further, that the event horizon, N, of the black hole is a Killing horizon with compact crosssections. We prove that if surface gravity is nonzero constant throughout the horizon one can g ..."
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Cited by 55 (7 self)
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We consider a globally hyperbolic, stationary spacetime containing a black hole but no white hole. We assume, further, that the event horizon, N, of the black hole is a Killing horizon with compact crosssections. We prove that if surface gravity is nonzero constant throughout the horizon one can globally extend such a spacetime so that the image of N is a proper subset of a regular bifurcate Killing horizon in the enlarged spacetime. The necessary and sufficient conditions are given for the extendibility of matter fields to the enlarged spacetime. These conditions are automatically satisfied if the spacetime is static (and, hence “t”reflection symmetric) or stationaryaxisymmetric with “t − φ ” reflection isometry and the matter fields respect the reflection isometry. In addition, we prove that a necessary and sufficient condition for the constancy of the surface gravity on a Killing horizon is that the exterior derivative of the twist of the horizon Killing field vanish on the horizon. As a corollary of this, we recover a result of Carter that constancy of surface gravity holds for any black hole which is static or stationaryaxisymmetric with the “t − φ ” reflection isometry. No use of Einstein’s equation is made in obtaining any of the above results. Taken together, these results support the view that any spacetime representing the asymptotic final state of a black hole formed by gravitational collapse may be assumed to possess a bifurcate Killing horizon or a Killing horizon with vanishing surface gravity. PACS number: 04.20 Cv. 1
Uniqueness theorem for 5dimensional black holes with two axial Killing fields
, 2007
"... We show that two stationary, asymptotically flat vacuum black holes in 5 dimensions with two commuting axial symmetries are identical if and only if their masses, angular momenta, and their “rod structures ” coincide. We also show that the horizon must be topologically either a 3sphere, a ring, or ..."
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Cited by 54 (9 self)
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We show that two stationary, asymptotically flat vacuum black holes in 5 dimensions with two commuting axial symmetries are identical if and only if their masses, angular momenta, and their “rod structures ” coincide. We also show that the horizon must be topologically either a 3sphere, a ring, or a Lensspace. Our argument is a generalization of constructions of Morisawa and Ida (based in turn on key work of Maison) who considered the spherical case, combined with basic arguments concerning the nature of the factor manifold of symmetry orbits.
The interior of charged black holes and the problem of uniqueness in general relativity
, 2008
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A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
, 2008
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Thermodynamics of (3+1)dimensional black holes with toroidal or higher genus black horizons, Phys. Rev. D56
, 1997
"... grqc/9705012 ..."
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