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25
Comparison between various notions of conserved charges in asymptotically AdSspacetimes
, 2005
"... We derive hamiltionian generators of asymptotic symmetries for general relativity with asymptotic AdS boundary conditions using the “covariant phase space ” method of Wald et al. We then compare our results with other definitions that have been proposed in the literature. We find that our definition ..."
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Cited by 66 (8 self)
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We derive hamiltionian generators of asymptotic symmetries for general relativity with asymptotic AdS boundary conditions using the “covariant phase space ” method of Wald et al. We then compare our results with other definitions that have been proposed in the literature. We find that our definition agrees with that proposed by Ashtekar et al, with the spinor definition, and with the background dependent definition of Henneaux and Teitelboim. Our definition disagrees with the one obtained from the “counterterm subtraction method, ” but the
Holographic Renormalization of Asymptotically Flat Spacetimes
, 2006
"... A new local, covariant “counterterm” is used to construct a variational principle for asymptotically flat spacetimes in any spacetime dimension d ≥ 4. The new counterterm makes direct contact with more familiar background subtraction procedures, but is a local algebraic function of the boundary m ..."
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Cited by 39 (7 self)
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A new local, covariant “counterterm” is used to construct a variational principle for asymptotically flat spacetimes in any spacetime dimension d ≥ 4. The new counterterm makes direct contact with more familiar background subtraction procedures, but is a local algebraic function of the boundary metric and Ricci curvature. The corresponding action satisfies two important properties required for a proper treatment of semiclassical issues and, in particular, to connect with any dual nongravitational description of asymptotically flat space. These properties are that 1) the action is finite onshell and 2) asymptotically flat solutions are stationary points under all variations preserving asymptotic flatness; i.e., not just under variations of compact support. Our definition of asymptotic flatness is sufficiently general to allow the magentic part of the Weyl tensor to be of the same order as the electric part and thus, for d = 4, to have nonvanishing NUT charge. Definitive results are demonstrated when the boundary is either a cylindrical or a hyperbolic (i.e., de Sitter space) representation of spacelike infinity (i 0), and partial results are provided for more general representations of i 0. For the cylindrical or hyperbolic representations of i 0, similar results are also shown to hold for both a counterterm proportional
A holographic reduction of Minkowski Spacetime
, 2003
"... Minkowski space can be sliced, outside the lightcone, in terms of Euclidean Antide Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we apply holography to each slice separately. This yields a dual description living on two spheres, which can be interpreted as th ..."
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Cited by 23 (3 self)
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Minkowski space can be sliced, outside the lightcone, in terms of Euclidean Antide Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we apply holography to each slice separately. This yields a dual description living on two spheres, which can be interpreted as the boundary of the light cone. The infinite number of slices gives rise to a continuum family of operators on the two spheres for each separate bulk field. For a free field we explain how the Green’s function and (trivial) Smatrix in Minkowski space can be reconstructed in terms of twopoint functions of some putative conformal field theory on the two spheres. Based on this we propose a Minkowski/CFT correspondence which can also be applied to interacting fields. We comment on the interpretation of the conformal symmetry of the CFT, and on generalizations to curved space.
On the Stress Tensor for Asymptotically Flat Gravity
, 2008
"... The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but their explicit formulas are not identical to previous construct ..."
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Cited by 7 (3 self)
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The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but their explicit formulas are not identical to previous constructions in the literature. This paper corrects an earlier comparison with other approaches, including terms in the definition of the stress tensor charges that were previously overlooked. We show that these terms either vanish identically (for d> 4) or take a form that does not contribute to the conserved charges (for d = 4). This verifies the earlier claim that boundary stress tensor methods for asymptotically flat spacetimes yield the same conserved charges as other approaches. We also derive some additional connections between the boundary stress tensor
Holographic Renormalization of Gravity in Little String Theory Duals
, 2007
"... We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a welldefined type II action for NSsector linear dilaton backgrounds. Our methods are based on a similar recent construction in asymptotically flat spacetimes, a ..."
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Cited by 5 (1 self)
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We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a welldefined type II action for NSsector linear dilaton backgrounds. Our methods are based on a similar recent construction in asymptotically flat spacetimes, and our work demonstrates in detail the parallels between asymptotically flat and linear dilaton boundary conditions. The counterterms guarantee that (i) the onshell action is finite and (ii) asymptotically linear dilaton solutions are stationary points of the action under all boundary condition preserving variations. We use the resulting action to compute a boundary stress tensor and the associated conserved charges.
CFT’s in rotating black hole backgrounds
 Class. Quantum Grav
, 2013
"... We use AdS/CFT to construct the gravitational dual of a 5D CFT in the background of a nonextremal rotating black hole. Our boundary conditions are such that the vacuum state of the dual CFT corresponds to the Unruh state. We extract the expectation value of the stress tensor of the dual CFT using ..."
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Cited by 5 (0 self)
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We use AdS/CFT to construct the gravitational dual of a 5D CFT in the background of a nonextremal rotating black hole. Our boundary conditions are such that the vacuum state of the dual CFT corresponds to the Unruh state. We extract the expectation value of the stress tensor of the dual CFT using holographic renormalisation and show that it is stationary and regular on both the future and the past event horizons. The energy density of the CFT is found to be negative everywhere in our domain and we argue that this can be understood as a vacuum polarisation effect. We construct the solutions by numerically solving the elliptic Einstein–DeTurck equation for stationary Lorentzian spacetimes with Killing horizons. ar X iv
Relaxing the Parity Conditions of Asymptotically Flat Gravity
, 2011
"... Fourdimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The EinsteinHilbert action is shown to be a correct variational principle when it is supplemented by an anomalous counterterm ..."
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Cited by 3 (1 self)
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Fourdimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The EinsteinHilbert action is shown to be a correct variational principle when it is supplemented by an anomalous counterterm which breaks asymptotic translation, supertranslation and logarithmic translation invariance. Poincare transformations as well as supertranslations and logarithmic translations are associated with finite and conserved charges which represent the asymptotic symmetry group. Lorentz charges as well as logarithmic translations transform anomalously under a change of regulator. Lorentz charges are generally nonlinear functionals of the asymptotic fields but reduce to wellknown linear expressions when parity conditions hold. We also define a covariant phase space of asymptotically flat spacetimes with parity conditions but without restrictions on the Weyl tensor. In this phase space, the anomaly plays classically no dynamical role. Supertranslations are pure gauge and the asymptotic symmetry group is the expected Poincare group.
Language and Content
 Implicit Policy, Invisible, Language: Policies and Practices of International Degree Programmes in Finnish Higher Education’. in EnglishMedium Instruction at Universities. Global Challenges
, 1984
"... A challenge for 21st century molecular biology and biochemistry: what are the causes of obligate autotrophy and methanotrophy? for at least one of the three components of the aketoglutarate dehydrogenase complex in these obligate organisms. It is recognized that absence of a single functional enzym ..."
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Cited by 2 (0 self)
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A challenge for 21st century molecular biology and biochemistry: what are the causes of obligate autotrophy and methanotrophy? for at least one of the three components of the aketoglutarate dehydrogenase complex in these obligate organisms. It is recognized that absence of a single functional enzyme may not explain obligate autotrophy in all cases and may indeed be only be one of a 2. Genome sequences and bioinformatic databases as untapped resources................ 337 3. Background to obligate metabolic modes of life................................ 337 3.1. Bacterial obligate autotrophy and methanotrophy and their relationship to autotrophy in Archaea............................................ 337 obiology.org by guest on Septem ber 16, 2016
hepth/0512083 A covariant approach to braneworld holography
, 2006
"... Exact holography for cosmological branes in an AdSSchwarzschild bulk was first introduced in hepth/0204218. We extend this notion to include all codimension one branes moving in nontrivial bulk spacetimes. We use a covariant approach, and show that the bulk Weyl tensor projected on to the brane c ..."
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Cited by 1 (1 self)
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Exact holography for cosmological branes in an AdSSchwarzschild bulk was first introduced in hepth/0204218. We extend this notion to include all codimension one branes moving in nontrivial bulk spacetimes. We use a covariant approach, and show that the bulk Weyl tensor projected on to the brane can always be traded in for “holographic ” energymomentum on the brane. More precisely, a brane moving in a nonmaximally symmetric bulk has exactly the same geometry as a brane moving in a maximally symmetric bulk, so long as we include the holographic fields on the brane. This correspondence is exact in that it works to all orders in the brane energymomentum tensor.