Conserved masses in GHS Einstein and string black holes and consistent thermodynamics

Chan, K.C.K.; Creighton, J. D. E.; Mann, Robert B.

doi:10.1103/physrevd.54.3892

Cited by 51 publications

(80 citation statements)

References 9 publications

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“…The reason was clearly stated in ref. [101,100]. Even though it is possible to make the unregularized energy conformally invariant for a selected class of models, the subtraction term will inevitably destroy that invariance since an "empty" reference space is mapped into a non-trivial configuration.…”

Section: Adm Mass and Quasilocal Energymentioning

confidence: 99%

Dilaton gravity in two dimensions

2002

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The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important examples of spherically symmetric Black Holes, together with string inspired models, belong to this class, valuable knowledge can also be gained for these systems in the quantum case. In the last decade new insights regarding the exact quantization of the geometric part of such theories have been obtained. They allow a systematic quantum field theoretical treatment, also in interactions with matter, without explicit introduction of a specific classical background geometry. The present review tries to assemble these results in a coherent manner, putting them at the same time into the perspective of the quite large literature on this subject.

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Section: Adm Mass and Quasilocal Energymentioning

confidence: 99%

Dilaton gravity in two dimensions

2002

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“…The background must be chosen such that its topological properties match the solution whose action and conserved charges we want to compute. However, this does not unequivocally fix the choice of the background [2] and moreover, there might be cases in which the topological properties of the solution rule out any natural choice of the background.…”

Section: Introductionmentioning

confidence: 99%

“…By using a new local, covariant counterterm they obtained conserved quantities that agree with older definitions known in literature. In particular, they constructed a boundary stress-tensor similar with the one used in quasi-local context [8,2], which in the so-called 'hyperbolic cut-off' has been shown to lead to conserved quantities that are built out of the electric part of the Weyl tensor, similar to the Ashtekar-Hansen expressions in four dimensions [10]. The connection with the Ashtekar-Hansen conserved quantities has been examined in more detail in [11], in which it was argued that the canonical form of the action built using the MannMarolf (MM) counterterm reduces to the ADM action [12].…”

Section: Introductionmentioning

confidence: 99%

Note on counterterms in asymptotically flat spacetimes

2007

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We consider in more detail the covariant counterterm proposed by Mann and Marolf in asymptotically flat spacetimes. With an eye to specific practical computations using this counterterm, we present explicit expressions in general d dimensions that can be used in the so-called 'cylindrical cut-off' to compute the action and the associated conserved quantities for an asymptotically flat spacetime. As applications, we show how to compute the action and the conserved quantities for the NUT-charged spacetime and for the Kerr black hole in four dimensions.

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“…Unfortunately it suffers from several drawbacks. The choice of reference spacetime is not always unique [12], nor is it always possible to embed a boundary with a given induced metric into the reference background. Indeed, for Kerr spacetimes, this latter problem forms a serious obstruction towards calculating the subtraction energy, and calculations have only been performed in the slow-rotating regime [13].…”

Section: Introductionmentioning

confidence: 99%

Quasilocal thermodynamics of Kerr and Kerr–anti-de Sitter spacetimes and the AdS/CFT correspondence

Dehghani

Mann

2001

Phys. Rev. D

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We consider the quasilocal thermodynamics of rotating black holes in asymptotically flat and asymptotically anti de Sitter (AdS) spacetimes. Using the minimal number of intrinsic boundary counterterms inspired by the AdS/conformal field theory correspondence, we find that we are able to carry out an analysis of the thermodynamics of these black holes for virtually all possible values of the rotation parameter and cosmological constant that leave the quasilocal boundary well defined, going well beyond what is possible with background subtraction methods. Specifically, we compute the quasilocal energy E and angular momentum J for arbitrary values of the rotation, mass and cosmological constant parameters for the (3+1)-dimensional Kerr, Kerr-AdS black holes and (2+1)-dimensional Banados Teittelboim and Zanelli (BTZ) black hole. We perform a quasilocal stability analysis and find phase behavior that is commensurate with previous analyses carried out at infinity.

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Conserved masses in GHS Einstein and string black holes and consistent thermodynamics

Cited by 51 publications

References 9 publications

Dilaton gravity in two dimensions

Dilaton gravity in two dimensions

Note on counterterms in asymptotically flat spacetimes

Quasilocal thermodynamics of Kerr and Kerr–anti-de Sitter spacetimes and the AdS/CFT correspondence

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